System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2

Time bar (total: 12.9s)

analyze1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
100%49.9%0%0.1%0%49.9%0%4
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.9s (14.9%)

Memory
13.0MiB live, 1 241.1MiB allocated
Samples
688.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-mult: 228.0ms (49.3% of total)
ival-log: 109.0ms (23.6% of total)
ival-add: 68.0ms (14.7% of total)
ival-sub: 42.0ms (9.1% of total)
exact: 8.0ms (1.7% of total)
ival-true: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess1.1s (8.3%)

Memory
6.3MiB live, 162.8MiB allocated
Algorithm
egg-herbie
Rules
1 904×accelerator-lowering-fma.f32
1 904×accelerator-lowering-fma.f64
1 482×unsub-neg
1 176×sub-neg
638×associate--r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040129
1133122
2383122
31265122
43877122
55640122
66220122
76409122
86515122
96556122
107094122
117257122
127264122
137264122
147264122
157342122
167358122
177358122
01112
12712
26012
312512
427712
549212
683212
7123312
8155512
9165612
10168712
11168912
12168912
0168910
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
Outputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))
Call 2
Inputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(+ (* (neg x) 1/2) (* y (+ (- 1 z) (log z))))
(+ (* x 1/2) (* (neg y) (+ (- 1 z) (log z))))
(+ (* x 1/2) (* y (+ (- 1 (neg z)) (log (neg z)))))
(neg (+ (* (neg x) 1/2) (* y (+ (- 1 z) (log z)))))
(neg (+ (* x 1/2) (* (neg y) (+ (- 1 z) (log z)))))
(neg (+ (* x 1/2) (* y (+ (- 1 (neg z)) (log (neg z))))))
(+ (* y 1/2) (* x (+ (- 1 z) (log z))))
(+ (* z 1/2) (* y (+ (- 1 x) (log x))))
(+ (* x 1/2) (* z (+ (- 1 y) (log y))))
Outputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(+ (* x 1/2) (+ y (* y (- (log z) z))))
(+ (* (neg x) 1/2) (* y (+ (- 1 z) (log z))))
(+ y (+ (* x -1/2) (* y (- (log z) z))))
(+ (* x 1/2) (* (neg y) (+ (- 1 z) (log z))))
(+ (* x 1/2) (- (* y (- z (log z))) y))
(+ (* x 1/2) (* y (+ (- 1 (neg z)) (log (neg z)))))
(+ (* x 1/2) (* y (+ (+ 1 z) (log (neg z)))))
(neg (+ (* (neg x) 1/2) (* y (+ (- 1 z) (log z)))))
(+ (* x 1/2) (- (* y (- z (log z))) y))
(neg (+ (* x 1/2) (* (neg y) (+ (- 1 z) (log z)))))
(+ y (+ (* x -1/2) (* y (- (log z) z))))
(neg (+ (* x 1/2) (* y (+ (- 1 (neg z)) (log (neg z))))))
(+ (* x -1/2) (* y (- (- -1 z) (log (neg z)))))
(+ (* y 1/2) (* x (+ (- 1 z) (log z))))
(+ (* x (- (log z) z)) (+ x (* 1/2 y)))
(+ (* z 1/2) (* y (+ (- 1 x) (log x))))
(+ (* 1/2 z) (+ y (* y (- (log x) x))))
(+ (* x 1/2) (* z (+ (- 1 y) (log y))))
(+ (* x 1/2) (+ z (* z (- (log y) y))))

explain116.0ms (0.9%)

Memory
-3.9MiB live, 229.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-(log.f64 z)
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-y
00-0-(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
00-0-(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
00-0-#s(literal 1/2 binary64)
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
44.0ms512×0valid
Compiler

Compiled 112 to 48 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 7.0ms (33.1% of total)
ival-mult: 6.0ms (28.4% of total)
ival-add: 4.0ms (18.9% of total)
ival-sub: 3.0ms (14.2% of total)
exact: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify90.0ms (0.7%)

Memory
-5.3MiB live, 113.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff128
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
cost-diff128
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Rules
1 904×accelerator-lowering-fma.f32
1 904×accelerator-lowering-fma.f64
464×*-lowering-*.f32
464×*-lowering-*.f64
424×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
12739
26039
312539
427739
549239
683239
7123339
8155539
9165639
10168739
11168939
12168939
0168936
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(* x 1/2)
x
1/2
(* y (+ (- 1 z) (log z)))
y
(+ (- 1 z) (log z))
(- 1 z)
1
z
(log z)
Outputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y (+ (- 1 z) (log z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
y
(+ (- 1 z) (log z))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(log z)
(log.f64 z)

localize32.0ms (0.3%)

Memory
32.3MiB live, 69.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 z)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy100.0%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
accuracy99.8%
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
Samples
22.0ms256×0valid
Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (28.9% of total)
ival-mult: 3.0ms (28.9% of total)
ival-add: 2.0ms (19.3% of total)
ival-sub: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series173.0ms (1.3%)

Memory
-28.9MiB live, 96.6MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (+ (* x 1/2) (* y (+ (- 1 z) (log z))))>
#<alt (* y (+ (- 1 z) (log z)))>
#<alt (* x 1/2)>
#<alt (+ (- 1 z) (log z))>
#<alt (log z)>
Outputs
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
Calls

24 calls:

TimeVariablePointExpression
126.0ms
y
@0
(* y (+ (- 1 z) (log z)))
10.0ms
z
@-inf
(log z)
9.0ms
z
@inf
(log z)
8.0ms
z
@0
(log z)
7.0ms
x
@0
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))

rewrite304.0ms (2.4%)

Memory
36.5MiB live, 421.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 726×accelerator-lowering-fma.f32
6 726×accelerator-lowering-fma.f64
5 962×*-lowering-*.f32
5 962×*-lowering-*.f64
3 984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
16431
259031
0846430
Stop Event
iter limit
node limit
Counts
5 → 250
Calls
Call 1
Inputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(* y (+ (- 1 z) (log z)))
(* x 1/2)
(+ (- 1 z) (log z))
(log z)
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
(+.f64 y (fma.f64 y (neg.f64 z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 y (fma.f64 (neg.f64 z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 y (log.f64 z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (log.f64 z))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))) (/.f64 (pow.f64 (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal 2 binary64)) (fma.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (neg.f64 z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 y #s(literal 1 binary64) (fma.f64 (neg.f64 z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (log.f64 z) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (neg.f64 z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) y (fma.f64 (neg.f64 z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))) y) (*.f64 x #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (neg.f64 (pow.f64 (log.f64 z) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (neg.f64 (pow.f64 (log.f64 z) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (pow.f64 (log.f64 z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (neg.f64 z) (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (neg.f64 z) (log.f64 z)) (+.f64 (neg.f64 z) (log.f64 z))) (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) (log.f64 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64)) (-.f64 (*.f64 z z) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (fma.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64)) (fma.f64 z z (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 z) (log.f64 z)) (+.f64 (neg.f64 z) (log.f64 z)))) (-.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) (log.f64 z))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64))) (*.f64 z z)) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64))) (*.f64 z z)) (+.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (*.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (log.f64 z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 (pow.f64 (log.f64 z) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (neg.f64 (pow.f64 (log.f64 z) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (neg.f64 (pow.f64 (log.f64 z) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (+.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (pow.f64 (log.f64 z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (pow.f64 (log.f64 z) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))) (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))
(*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
(log.f64 z)
(+.f64 (log.f64 z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 z))

simplify354.0ms (2.7%)

Memory
-22.5MiB live, 466.7MiB allocated
Algorithm
egg-herbie
Rules
9 802×accelerator-lowering-fma.f32
9 802×accelerator-lowering-fma.f64
2 660×*-lowering-*.f32
2 660×*-lowering-*.f64
2 142×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082811
1256789
2767786
32727753
46729750
08128672
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (log z)) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (+ 1 (log z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(+ 1 (+ (log z) (* -1 z)))
(+ 1 (+ (log z) (* -1 z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(log z)
(log z)
(log z)
(log z)
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
Outputs
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 y z))
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (+ 1 (log z)))
(fma.f64 y (log.f64 z) y)
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(*.f64 y (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 z))))) z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(*.f64 y (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 z))))) z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(*.f64 y (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 z))))) z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ 1 (log z))
(+.f64 #s(literal 1 binary64) (log.f64 z))
(+ 1 (+ (log z) (* -1 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(+ 1 (+ (log z) (* -1 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(+ 1 (+ (log z) (* -1 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 z))))) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 z))))) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 z))))) z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z))))

eval44.0ms (0.3%)

Memory
-11.8MiB live, 105.2MiB allocated
Compiler

Compiled 8 930 to 906 computations (89.9% saved)

prune91.0ms (0.7%)

Memory
19.1MiB live, 105.1MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New33313346
Fresh000
Picked101
Done000
Total33413347
Accuracy
100.0%
Counts
347 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
85.4%
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) y) (*.f64 x #s(literal 1/2 binary64)))
99.1%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
83.2%
(fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
99.9%
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
67.8%
(fma.f64 y (-.f64 (log.f64 z) z) y)
61.3%
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
83.2%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
99.8%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
71.7%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
40.2%
(*.f64 y (neg.f64 z))
34.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 408 to 264 computations (35.3% saved)

simplify828.0ms (6.4%)

Memory
-1.4MiB live, 281.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y)
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff128
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
cost-diff14080
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
cost-diff0
(log.f64 z)
cost-diff0
(fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff320
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(log.f64 z)
cost-diff0
(-.f64 (log.f64 z) z)
cost-diff0
(fma.f64 y (-.f64 (log.f64 z) z) y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(log.f64 z)
cost-diff0
(+.f64 (log.f64 z) #s(literal 1 binary64))
cost-diff0
(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
cost-diff128
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
Rules
8 188×accelerator-lowering-fma.f32
8 188×accelerator-lowering-fma.f64
2 328×--lowering--.f32
2 328×--lowering--.f64
2 224×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028151
158151
2115151
3297151
4871151
53106151
65705151
08232142
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (- (+ (log z) 1) z) y) (* x 1/2))
(- (+ (log z) 1) z)
(+ (log z) 1)
(log z)
z
1
y
(* x 1/2)
x
1/2
(* 1/2 x)
1/2
x
(+ (* y (- (log z) z)) y)
y
(- (log z) z)
(log z)
z
(+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2)))
(- 1 z)
1
z
y
(+ (* y (log z)) (* x 1/2))
(log z)
(* x 1/2)
x
1/2
(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z)))))
(* x 1/2)
x
1/2
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
(* (- 1 (pow (- z (log z)) 2)) y)
(- 1 (pow (- z (log z)) 2))
1
(pow (- z (log z)) 2)
(- z (log z))
z
(log z)
2
y
(+ 1 (- z (log z)))
Outputs
(+ (* (- (+ (log z) 1) z) y) (* x 1/2))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y))
(- (+ (log z) 1) z)
(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
(+ (log z) 1)
(+.f64 (log.f64 z) #s(literal 1 binary64))
(log z)
(log.f64 z)
z
1
#s(literal 1 binary64)
y
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(+ (* y (- (log z) z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
y
(- (log z) z)
(-.f64 (log.f64 z) z)
(log z)
(log.f64 z)
z
(+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
y
(+ (* y (log z)) (* x 1/2))
(fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(log z)
(log.f64 z)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* (- 1 (pow (- z (log z)) 2)) y)
(-.f64 y (*.f64 y (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(- 1 (pow (- z (log z)) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (- z (log z)) 2)
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
(- z (log z))
(-.f64 z (log.f64 z))
z
(log z)
(log.f64 z)
2
#s(literal 2 binary64)
y
(+ 1 (- z (log z)))
(+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))

localize161.0ms (1.2%)

Memory
-22.5MiB live, 137.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
accuracy99.5%
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
accuracy94.7%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y)
accuracy88.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 z)
accuracy99.8%
(fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))
accuracy99.1%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
accuracy100.0%
(-.f64 (log.f64 z) z)
accuracy100.0%
(log.f64 z)
accuracy99.8%
(fma.f64 y (-.f64 (log.f64 z) z) y)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 z)
accuracy100.0%
(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
Samples
99.0ms256×0valid
Compiler

Compiled 168 to 30 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-add: 48.0ms (58.8% of total)
ival-mult: 20.0ms (24.5% of total)
ival-sub: 5.0ms (6.1% of total)
ival-log: 4.0ms (4.9% of total)
ival-div: 2.0ms (2.5% of total)
ival-pow2: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
16.4MiB live, 55.7MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#<alt (+ (* (- (+ (log z) 1) z) y) (* x 1/2))>
#<alt (- (+ (log z) 1) z)>
#<alt (+ (log z) 1)>
#<alt (log z)>
#<alt (* 1/2 x)>
#<alt (+ (* y (- (log z) z)) y)>
#<alt (- (log z) z)>
#<alt (+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2)))>
#<alt (- 1 z)>
#<alt (+ (* y (log z)) (* x 1/2))>
#<alt (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))>
#<alt (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z)))))>
#<alt (* x 1/2)>
#<alt (* (- 1 (pow (- z (log z)) 2)) y)>
#<alt (pow (- z (log z)) 2)>
#<alt (+ 1 (- z (log z)))>
Outputs
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (log z)>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (+ (* y (log z)) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (* y (log z))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (log z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (log z))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))>
#<alt (+ (* z (- (* 2 (/ (* y (log z)) (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))>
#<alt (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))>
#<alt (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (+ (* z (- (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 3))) (+ (* -1 (/ y (pow (- 1 (log z)) 2))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 4))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3)))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (* -1 y)) (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* y (- 1 (pow (log (/ 1 z)) 2))) (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))))) (pow z 3))) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (/ (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))))))) z))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z))))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z))))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))))>
#<alt (* x (+ 1/2 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))))>
#<alt (* x (+ 1/2 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))) 1/2)))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))>
#<alt (+ (* 1/2 x) (+ (* z (- (* 2 (/ (* y (log z)) (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (+ (* z (- (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 3))) (+ (* -1 (/ y (pow (- 1 (log z)) 2))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 4))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3)))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (* 1/2 (/ x z)))) (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* y (- 1 (pow (log (/ 1 z)) 2))) (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))))) (pow z 3))) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (/ (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))))))) z))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (- 1 (pow (log z) 2)))>
#<alt (+ (* 2 (* y (* z (log z)))) (* y (- 1 (pow (log z) 2))))>
#<alt (+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))>
#<alt (+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (* -1 y)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) z)))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (pow (log z) 2)>
#<alt (+ (* -2 (* z (log z))) (pow (log z) 2))>
#<alt (+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))>
#<alt (+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ (log (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (* 2 (log -1))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))>
#<alt (- 1 (log z))>
#<alt (- (+ 1 z) (log z))>
#<alt (- (+ 1 z) (log z))>
#<alt (- (+ 1 z) (log z))>
#<alt z>
#<alt (* z (- (+ 1 (/ 1 z)) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* z (- (+ 1 (/ 1 z)) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* z (- (+ 1 (/ 1 z)) (* -1 (/ (log (/ 1 z)) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))>
Calls

81 calls:

TimeVariablePointExpression
19.0ms
y
@inf
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
1.0ms
z
@-inf
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
1.0ms
y
@0
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
1.0ms
z
@inf
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
1.0ms
z
@0
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))

rewrite520.0ms (4%)

Memory
12.6MiB live, 752.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 088×accelerator-lowering-fma.f32
6 088×accelerator-lowering-fma.f64
5 096×*-lowering-*.f32
5 096×*-lowering-*.f64
4 936×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028116
1193107
21950107
09861102
Stop Event
iter limit
node limit
Counts
16 → 850
Calls
Call 1
Inputs
(+ (* (- (+ (log z) 1) z) y) (* x 1/2))
(- (+ (log z) 1) z)
(+ (log z) 1)
(log z)
(* 1/2 x)
(+ (* y (- (log z) z)) y)
(- (log z) z)
(+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2)))
(- 1 z)
(+ (* y (log z)) (* x 1/2))
(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z)))))
(* x 1/2)
(* (- 1 (pow (- z (log z)) 2)) y)
(pow (- z (log z)) 2)
(+ 1 (- z (log z)))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (log.f64 z) y) (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) z))))
(+.f64 (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (log.f64 z) y))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (-.f64 (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (log.f64 z) (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (log.f64 z) y)) (pow.f64 (*.f64 (log.f64 z) y) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 z) y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 z) y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
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simplify464.0ms (3.6%)

Memory
9.3MiB live, 687.2MiB allocated
Algorithm
egg-herbie
Rules
10 246×accelerator-lowering-fma.f32
10 246×accelerator-lowering-fma.f64
5 568×*-lowering-*.f32
5 568×*-lowering-*.f64
2 856×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04064983
113324661
244914481
081484234
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* -1 (* y z))
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(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* 1/2 x)
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(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
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(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(+ (log -1) (* -1 (log (/ -1 z))))
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1
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z
(* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (log.f64 #s(literal -1 binary64)))) (neg.f64 z)) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (log.f64 #s(literal -1 binary64)))) (neg.f64 z)) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (log.f64 #s(literal -1 binary64)))) (neg.f64 z)) (neg.f64 z) z)

eval410.0ms (3.2%)

Memory
-61.4MiB live, 346.2MiB allocated
Compiler

Compiled 40 330 to 2 325 computations (94.2% saved)

prune115.0ms (0.9%)

Memory
29.2MiB live, 226.2MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 267111 278
Fresh538
Picked325
Done000
Total1 275161 291
Accuracy
100.0%
Counts
1 291 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
67.1%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
71.7%
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
67.8%
(fma.f64 y (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z) y)
67.8%
(fma.f64 y (-.f64 (log.f64 z) z) y)
39.2%
(fma.f64 y (neg.f64 z) y)
61.3%
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
29.2%
(fma.f64 y (log.f64 z) y)
61.3%
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
67.8%
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
99.8%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
59.2%
(*.f64 z (-.f64 (fma.f64 y (/.f64 (log.f64 z) z) (/.f64 y z)) y))
40.2%
(*.f64 z (neg.f64 y))
87.3%
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64)))
34.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 388 to 251 computations (35.3% saved)

simplify381.0ms (2.9%)

Memory
-6.2MiB live, 395.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
cost-diff0
(/.f64 y x)
cost-diff0
(fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64))
cost-diff832
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64)))
cost-diff0
(log.f64 z)
cost-diff0
(*.f64 y (log.f64 z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff320
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
cost-diff0
(log.f64 z)
cost-diff0
(fma.f64 y (log.f64 z) y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 z (neg.f64 y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff128
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
cost-diff1216
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
Rules
9 624×accelerator-lowering-fma.f32
9 624×accelerator-lowering-fma.f64
4 264×*-lowering-*.f32
4 264×*-lowering-*.f64
1 646×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
167130
2163130
3542130
41523130
53215130
65823130
08255122
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))))
(* x 1/2)
x
1/2
(/ y (/ 1 (- (+ (log z) 1) z)))
y
(/ 1 (- (+ (log z) 1) z))
1
(- (+ (log z) 1) z)
(+ (log z) 1)
(log z)
z
(* z (neg y))
z
(neg y)
y
(+ (* y (log z)) y)
y
(log z)
z
(+ (* (- 1 z) y) (* y (log z)))
(- 1 z)
1
z
y
(* y (log z))
(log z)
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))
x
(+ (* (/ y x) (+ 1 (- (log z) z))) 1/2)
(/ y x)
y
(+ 1 (- (log z) z))
1
(- (log z) z)
(log z)
z
1/2
Outputs
(+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(/ y (/ 1 (- (+ (log z) 1) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
y
(/ 1 (- (+ (log z) 1) z))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
1
#s(literal 1 binary64)
(- (+ (log z) 1) z)
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(+ (log z) 1)
(+.f64 #s(literal 1 binary64) (log.f64 z))
(log z)
(log.f64 z)
z
(* z (neg y))
(*.f64 y (neg.f64 z))
z
(neg y)
(neg.f64 y)
y
(+ (* y (log z)) y)
(fma.f64 y (log.f64 z) y)
y
(log z)
(log.f64 z)
z
(+ (* (- 1 z) y) (* y (log z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
y
(* y (log z))
(*.f64 y (log.f64 z))
(log z)
(log.f64 z)
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y))
x
(+ (* (/ y x) (+ 1 (- (log z) z))) 1/2)
(fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
y
(+ 1 (- (log z) z))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
1
#s(literal 1 binary64)
(- (log z) z)
(-.f64 (log.f64 z) z)
(log z)
(log.f64 z)
z
1/2
#s(literal 1/2 binary64)

localize85.0ms (0.7%)

Memory
13.3MiB live, 169.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
accuracy99.8%
(fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64))
accuracy87.4%
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(log.f64 z)
accuracy99.6%
(*.f64 y (log.f64 z))
accuracy99.0%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
accuracy100.0%
(log.f64 z)
accuracy99.6%
(fma.f64 y (log.f64 z) y)
accuracy100.0%
(*.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
accuracy100.0%
(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
accuracy99.7%
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
Samples
53.0ms256×0valid
Compiler

Compiled 136 to 27 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 11.0ms (30.4% of total)
ival-mult: 10.0ms (27.7% of total)
ival-add: 6.0ms (16.6% of total)
ival-log: 4.0ms (11.1% of total)
ival-sub: 3.0ms (8.3% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
1.8MiB live, 39.9MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#<alt (/ y (/ 1 (- (+ (log z) 1) z)))>
#<alt (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))))>
#<alt (* x 1/2)>
#<alt (/ 1 (- (+ (log z) 1) z))>
#<alt (* z (neg y))>
#<alt (neg y)>
#<alt (+ (* y (log z)) y)>
#<alt (log z)>
#<alt (+ (* (- 1 z) y) (* y (log z)))>
#<alt (- 1 z)>
#<alt (* y (log z))>
#<alt (* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))>
#<alt (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2)>
#<alt (/ y x)>
#<alt (+ 1 (- (log z) z))>
#<alt (+ (log z) 1)>
Outputs
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 1 (+ 1 (log z)))>
#<alt (+ (/ 1 (+ 1 (log z))) (/ z (pow (+ 1 (log z)) 2)))>
#<alt (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 2)) (/ z (pow (+ 1 (log z)) 3)))) (/ 1 (+ 1 (log z))))>
#<alt (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 3)) (/ z (pow (+ 1 (log z)) 4)))) (/ 1 (pow (+ 1 (log z)) 2)))) (/ 1 (+ 1 (log z))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z)) 1) z)>
#<alt (/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)))) z)>
#<alt (/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (+ (/ 1 z) (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z)))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) z)) (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 3) z) (* -1 (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2))) z)) (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* y (log z))>
#<alt (* -1 (* y (log (/ 1 z))))>
#<alt (* -1 (* y (log (/ 1 z))))>
#<alt (* -1 (* y (log (/ 1 z))))>
#<alt (* -1 (* y (log (/ 1 z))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))>
#<alt (+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))>
#<alt (+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))>
#<alt (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))>
#<alt (+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))>
#<alt (* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))>
#<alt (* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))>
#<alt 1/2>
#<alt (+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))>
#<alt (+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))>
#<alt (+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))>
#<alt (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))>
#<alt (* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))>
#<alt (* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))>
#<alt (* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))>
#<alt (/ (* y (- (+ 1 (log z)) z)) x)>
#<alt (* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))>
#<alt (/ (* y (- (+ 1 (log z)) z)) x)>
#<alt (/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)>
#<alt (/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)>
#<alt (/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))>
#<alt (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))>
#<alt (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))>
#<alt 1/2>
#<alt (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))>
#<alt (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))>
#<alt (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))>
#<alt (+ 1/2 (/ (* y (+ 1 (log z))) x))>
#<alt (+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))>
#<alt (+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))>
#<alt (+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))>
#<alt (* -1 (/ (* y z) x))>
#<alt (* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))>
#<alt (* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))>
#<alt (* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))>
#<alt (* -1 (/ (* y z) x))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
Calls

84 calls:

TimeVariablePointExpression
2.0ms
z
@0
(+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))))
2.0ms
y
@inf
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))
1.0ms
x
@0
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))
1.0ms
x
@-inf
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))
1.0ms
z
@-inf
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))

rewrite365.0ms (2.8%)

Memory
-14.5MiB live, 503.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 598×/-lowering-/.f32
4 598×/-lowering-/.f64
4 234×*-lowering-*.f32
4 234×*-lowering-*.f64
2 740×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025105
118699
2179999
0818792
Stop Event
iter limit
node limit
Counts
16 → 537
Calls
Call 1
Inputs
(/ y (/ 1 (- (+ (log z) 1) z)))
(+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))))
(* x 1/2)
(/ 1 (- (+ (log z) 1) z))
(* z (neg y))
(neg y)
(+ (* y (log z)) y)
(log z)
(+ (* (- 1 z) y) (* y (log z)))
(- 1 z)
(* y (log z))
(* x (+ (* (/ y x) (+ 1 (- (log z) z))) 1/2))
(+ (* (/ y x) (+ 1 (- (log z) z))) 1/2)
(/ y x)
(+ 1 (- (log z) z))
(+ (log z) 1)
Outputs
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (fma.f64 y (log.f64 z) y) (*.f64 z (neg.f64 y)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 (-.f64 (log.f64 z) z) y) (*.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (/.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))) #s(literal 1 binary64)) (/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (log.f64 z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)) (*.f64 y (neg.f64 z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 y (log.f64 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 (log.f64 z) z) y))
(fma.f64 (log.f64 z) y (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) y (*.f64 z (neg.f64 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
(fma.f64 (-.f64 (log.f64 z) z) y (*.f64 #s(literal 1 binary64) y))
(fma.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (log.f64 z))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)))) (*.f64 z (neg.f64 y)))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 z) (neg.f64 y))) (*.f64 z (neg.f64 y)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)))))
(/.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))))
(/.f64 (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64))) (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (log.f64 z) z) (-.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 z) z) (-.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (fma.f64 z (+.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 z))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (log.f64 z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 z)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (log.f64 z) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (log.f64 z) #s(literal -1 binary64))) (*.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 z))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (log.f64 z))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 z))) (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 z)))))
(*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) #s(literal -1 binary64))))

simplify940.0ms (7.3%)

Memory
-8.5MiB live, 471.7MiB allocated
Algorithm
egg-herbie
Rules
14 194×accelerator-lowering-fma.f32
14 194×accelerator-lowering-fma.f64
5 254×*-lowering-*.f32
5 254×*-lowering-*.f64
3 626×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02462893
17752799
223142761
082962547
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (+ 1 (log z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ 1 (log z)) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ 1 (+ 1 (log z)))
(+ (/ 1 (+ 1 (log z))) (/ z (pow (+ 1 (log z)) 2)))
(+ (* z (+ (/ 1 (pow (+ 1 (log z)) 2)) (/ z (pow (+ 1 (log z)) 3)))) (/ 1 (+ 1 (log z))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 3)) (/ z (pow (+ 1 (log z)) 4)))) (/ 1 (pow (+ 1 (log z)) 2)))) (/ 1 (+ 1 (log z))))
(/ -1 z)
(/ (- (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z)) 1) z)
(/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)))) z)
(/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (+ (/ 1 z) (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z)))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) z)) (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 3) z) (* -1 (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2))) z)) (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))) z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* y (+ 1 (log z)))
(* -1 (* y (- (* -1 (log z)) 1)))
(* -1 (* y (- (* -1 (log z)) 1)))
(* -1 (* y (- (* -1 (log z)) 1)))
(* -1 (* y (- (* -1 (log z)) 1)))
(+ y (* y (log z)))
(+ y (* y (log z)))
(+ y (* y (log z)))
(+ y (* y (log z)))
(+ y (* -1 (* y (log (/ 1 z)))))
(+ y (* -1 (* y (log (/ 1 z)))))
(+ y (* -1 (* y (log (/ 1 z)))))
(+ y (* -1 (* y (log (/ 1 z)))))
(+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(log z)
(log z)
(log z)
(log z)
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(* -1 (log (/ 1 z)))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ y (* y (log z)))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* y (- (+ 1 (log z)) z))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* y (log z))
(* -1 (* y (log (/ 1 z))))
(* -1 (* y (log (/ 1 z))))
(* -1 (* y (log (/ 1 z))))
(* -1 (* y (log (/ 1 z))))
(* y (+ (log -1) (* -1 (log (/ -1 z)))))
(* y (+ (log -1) (* -1 (log (/ -1 z)))))
(* y (+ (log -1) (* -1 (log (/ -1 z)))))
(* y (+ (log -1) (* -1 (log (/ -1 z)))))
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* y (- (+ 1 (log z)) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))
(* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))
(* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))
(* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))
(* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))
1/2
(+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))
(* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))
(* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))
(* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))
(/ (* y (- (+ 1 (log z)) z)) x)
(* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))
(/ (* y (- (+ 1 (log z)) z)) x)
(/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)
(/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)
(/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)
1/2
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
1/2
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(+ 1/2 (/ (* y (+ 1 (log z))) x))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(* -1 (/ (* y z) x))
(* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))
(* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))
(* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))
(* -1 (/ (* y z) x))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(+ 1 (+ (log z) (* -1 z)))
(+ 1 (+ (log z) (* -1 z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ 1 (log z))
(+ 1 (log z))
(+ 1 (log z))
(+ 1 (log z))
(+ 1 (* -1 (log (/ 1 z))))
(+ 1 (* -1 (log (/ 1 z))))
(+ 1 (* -1 (log (/ 1 z))))
(+ 1 (* -1 (log (/ 1 z))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
Outputs
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (+ 1 (log z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (+ 1 (log z)))
(fma.f64 y (log.f64 z) y)
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
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eval144.0ms (1.1%)

Memory
41.7MiB live, 227.7MiB allocated
Compiler

Compiled 17 096 to 1 776 computations (89.6% saved)

prune105.0ms (0.8%)

Memory
-29.8MiB live, 248.8MiB allocated
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New92010930
Fresh279
Picked235
Done022
Total92422946
Accuracy
100.0%
Counts
946 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
50.3%
(fma.f64 (-.f64 (/.f64 (log.f64 z) x) (/.f64 z x)) (*.f64 y x) y)
67.1%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
71.7%
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
67.8%
(fma.f64 y (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z) y)
67.8%
(fma.f64 y (-.f64 (log.f64 z) z) y)
39.2%
(fma.f64 y (neg.f64 z) y)
61.3%
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
29.2%
(fma.f64 y (log.f64 z) y)
61.3%
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
67.7%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
67.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)))
67.8%
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
29.2%
(+.f64 (*.f64 y (log.f64 z)) y)
71.6%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
16.8%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
33.9%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
40.2%
(*.f64 z (neg.f64 y))
55.6%
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 1/2 binary64)))
65.2%
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
33.7%
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
34.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 499 to 321 computations (35.7% saved)

simplify267.0ms (2.1%)

Memory
-24.3MiB live, 437.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 z) z)
cost-diff0
(-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)
cost-diff0
(fma.f64 y (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z) y)
cost-diff1024
(*.f64 z (/.f64 (log.f64 z) z))
cost-diff0
(log.f64 z)
cost-diff0
(-.f64 (log.f64 z) z)
cost-diff0
(*.f64 y (-.f64 (log.f64 z) z))
cost-diff128
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
cost-diff0
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 y (neg.f64 z) y)
cost-diff0
(-.f64 z (log.f64 z))
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
cost-diff320
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
Rules
7 542×accelerator-lowering-fma.f32
7 542×accelerator-lowering-fma.f64
3 206×*-lowering-*.f32
3 206×*-lowering-*.f64
1 494×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033155
183152
2253144
3722144
41971144
55508144
08118141
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))) (* x 1/2))
(/ 1 (+ 1 (- z (log z))))
1
(+ 1 (- z (log z)))
(- z (log z))
z
(log z)
(* y (- 1 (pow (- z (log z)) 2)))
y
(- 1 (pow (- z (log z)) 2))
(pow (- z (log z)) 2)
2
(* x 1/2)
x
1/2
(+ (* y (neg z)) y)
y
(neg z)
z
(* z (/ (- 0 (* y y)) (+ 0 y)))
z
(/ (- 0 (* y y)) (+ 0 y))
(- 0 (* y y))
0
(* y y)
y
(+ 0 y)
(+ (* y (- (log z) z)) y)
(* y (- (log z) z))
y
(- (log z) z)
(log z)
z
(+ (* y (- (* z (/ (log z) z)) z)) y)
y
(- (* z (/ (log z) z)) z)
(* z (/ (log z) z))
z
(/ (log z) z)
(log z)
Outputs
(+ (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))) (* x 1/2))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(/ 1 (+ 1 (- z (log z))))
(/.f64 #s(literal 1 binary64) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))
1
#s(literal 1 binary64)
(+ 1 (- z (log z)))
(+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))
(- z (log z))
(-.f64 z (log.f64 z))
z
(log z)
(log.f64 z)
(* y (- 1 (pow (- z (log z)) 2)))
(fma.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)) (neg.f64 y) y)
y
(- 1 (pow (- z (log z)) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))
(pow (- z (log z)) 2)
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (* y (neg z)) y)
(-.f64 y (*.f64 z y))
y
(neg z)
(neg.f64 z)
z
(* z (/ (- 0 (* y y)) (+ 0 y)))
(*.f64 y (neg.f64 z))
z
(/ (- 0 (* y y)) (+ 0 y))
(neg.f64 y)
(- 0 (* y y))
(neg.f64 (*.f64 y y))
0
#s(literal 0 binary64)
(* y y)
(*.f64 y y)
y
(+ 0 y)
y
(+ (* y (- (log z) z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
(* y (- (log z) z))
(*.f64 y (-.f64 (log.f64 z) z))
y
(- (log z) z)
(-.f64 (log.f64 z) z)
(log z)
(log.f64 z)
z
(+ (* y (- (* z (/ (log z) z)) z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
y
(- (* z (/ (log z) z)) z)
(-.f64 (log.f64 z) z)
(* z (/ (log z) z))
(log.f64 z)
z
(/ (log z) z)
(/.f64 (log.f64 z) z)
(log z)
(log.f64 z)

localize109.0ms (0.8%)

Memory
7.7MiB live, 158.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 z)
accuracy99.8%
(fma.f64 y (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z) y)
accuracy99.6%
(/.f64 (log.f64 z) z)
accuracy99.6%
(*.f64 z (/.f64 (log.f64 z) z))
accuracy100.0%
(-.f64 (log.f64 z) z)
accuracy100.0%
(log.f64 z)
accuracy99.8%
(*.f64 y (-.f64 (log.f64 z) z))
accuracy99.8%
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
accuracy100.0%
(+.f64 #s(literal 0 binary64) y)
accuracy100.0%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
accuracy100.0%
(*.f64 y y)
accuracy56.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy100.0%
(fma.f64 y (neg.f64 z) y)
accuracy100.0%
(neg.f64 z)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
accuracy99.5%
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
accuracy94.7%
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
accuracy88.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
Samples
68.0ms256×0valid
Compiler

Compiled 175 to 35 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 12.0ms (29.5% of total)
ival-add: 10.0ms (24.6% of total)
ival-sub: 6.0ms (14.8% of total)
ival-div: 5.0ms (12.3% of total)
ival-log: 4.0ms (9.8% of total)
ival-pow2: 2.0ms (4.9% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
10.2MiB live, 45.7MiB allocated
Counts
21 → 348
Calls
Call 1
Inputs
#<alt (+ (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))) (* x 1/2))>
#<alt (/ 1 (+ 1 (- z (log z))))>
#<alt (+ 1 (- z (log z)))>
#<alt (- z (log z))>
#<alt (+ (* y (neg z)) y)>
#<alt (neg z)>
#<alt (/ (- 0 (* y y)) (+ 0 y))>
#<alt (+ 0 y)>
#<alt (- 0 (* y y))>
#<alt (* z (/ (- 0 (* y y)) (+ 0 y)))>
#<alt (+ (* y (- (log z) z)) y)>
#<alt (* y (- (log z) z))>
#<alt (- (log z) z)>
#<alt (log z)>
#<alt (* z (/ (log z) z))>
#<alt (+ (* y (- (* z (/ (log z) z)) z)) y)>
#<alt (- (* z (/ (log z) z)) z)>
#<alt (/ (log z) z)>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (pow (- z (log z)) 2)>
#<alt (* y y)>
Outputs
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))>
#<alt (+ (* 1/2 x) (+ (* z (- (* 2 (/ (* y (log z)) (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (+ (* z (- (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 3))) (+ (* -1 (/ y (pow (- 1 (log z)) 2))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 4))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3)))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (* 1/2 (/ x z)))) (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* y (- 1 (pow (log (/ 1 z)) 2))) (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))))) (pow z 3))) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (/ (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))))))) z))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z))))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z))))>
#<alt (+ (* 1/2 x) (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))))>
#<alt (* x (+ 1/2 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))))>
#<alt (* x (+ 1/2 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 (pow (- z (log z)) 2))) (* x (- (+ 1 z) (log z))))) 1/2)))>
#<alt (/ 1 (- 1 (log z)))>
#<alt (+ (* -1 (/ z (pow (- 1 (log z)) 2))) (/ 1 (- 1 (log z))))>
#<alt (+ (* z (- (/ z (pow (- 1 (log z)) 3)) (/ 1 (pow (- 1 (log z)) 2)))) (/ 1 (- 1 (log z))))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow (- 1 (log z)) 4))) (/ 1 (pow (- 1 (log z)) 3)))) (/ 1 (pow (- 1 (log z)) 2)))) (/ 1 (- 1 (log z))))>
#<alt (/ 1 z)>
#<alt (/ (- (+ 1 (* -1 (/ (log (/ 1 z)) z))) (/ 1 z)) z)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -1 (log (/ 1 z))) 1)) (pow z 2))))) (/ 1 z)) z)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (/ (* (pow (- 1 (* -1 (log (/ 1 z)))) 2) (- (* -1 (log (/ 1 z))) 1)) (pow z 3)))) (+ (/ 1 z) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -1 (log (/ 1 z))) 1)) (pow z 2)))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 z)))) 1) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1 (/ (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (+ (log -1) (* -1 (log (/ -1 z)))) 1)) z)))) 1) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1 (/ (- (* -1 (/ (* (pow (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (- (+ (log -1) (* -1 (log (/ -1 z)))) 1)) z)) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (+ (log -1) (* -1 (log (/ -1 z)))) 1)))) z)))) 1) z)) 1) z))>
#<alt (- 1 (log z))>
#<alt (- (+ 1 z) (log z))>
#<alt (- (+ 1 z) (log z))>
#<alt (- (+ 1 z) (log z))>
#<alt z>
#<alt (* z (- (+ 1 (/ 1 z)) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* z (- (+ 1 (/ 1 z)) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* z (- (+ 1 (/ 1 z)) (* -1 (/ (log (/ 1 z)) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)) 1)))>
#<alt (* -1 (log z))>
#<alt (- z (log z))>
#<alt (- z (log z))>
#<alt (- z (log z))>
#<alt z>
#<alt (* z (+ 1 (/ (log (/ 1 z)) z)))>
#<alt (* z (+ 1 (/ (log (/ 1 z)) z)))>
#<alt (* z (+ 1 (/ (log (/ 1 z)) z)))>
#<alt z>
#<alt (* -1 (* z (- (+ (* -1 (/ (log (/ -1 z)) z)) (/ (log -1) z)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (log (/ -1 z)) z)) (/ (log -1) z)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (log (/ -1 z)) z)) (/ (log -1) z)) 1)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- z 1)))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (log z))>
#<alt (+ (* -1 (* y z)) (* y (log z)))>
#<alt (+ (* -1 (* y z)) (* y (log z)))>
#<alt (+ (* -1 (* y z)) (* y (log z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))>
#<alt (* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))>
#<alt (* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (log z)>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (log z)>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (log z) 2)))>
#<alt (+ (* 2 (* y (* z (log z)))) (* y (- 1 (pow (log z) 2))))>
#<alt (+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))>
#<alt (+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (* -1 y)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) z)))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))>
#<alt (pow (log z) 2)>
#<alt (+ (* -2 (* z (log z))) (pow (log z) 2))>
#<alt (+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))>
#<alt (+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ (log (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (* 2 (log -1))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

87 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(/ (log z) z)
4.0ms
z
@inf
(/ (log z) z)
1.0ms
z
@-inf
(/ 1 (+ 1 (- z (log z))))
0.0ms
z
@inf
(/ 1 (+ 1 (- z (log z))))
0.0ms
z
@0
(/ 1 (+ 1 (- z (log z))))

rewrite509.0ms (3.9%)

Memory
-3.5MiB live, 881.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 168×accelerator-lowering-fma.f32
9 168×accelerator-lowering-fma.f64
4 372×*-lowering-*.f32
4 372×*-lowering-*.f64
4 324×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033137
1224126
22277113
09115110
Stop Event
iter limit
node limit
Counts
21 → 1 919
Calls
Call 1
Inputs
(+ (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))) (* x 1/2))
(/ 1 (+ 1 (- z (log z))))
(+ 1 (- z (log z)))
(- z (log z))
(+ (* y (neg z)) y)
(neg z)
(/ (- 0 (* y y)) (+ 0 y))
(+ 0 y)
(- 0 (* y y))
(* z (/ (- 0 (* y y)) (+ 0 y)))
(+ (* y (- (log z) z)) y)
(* y (- (log z) z))
(- (log z) z)
(log z)
(* z (/ (log z) z))
(+ (* y (- (* z (/ (log z) z)) z)) y)
(- (* z (/ (log z) z)) z)
(/ (log z) z)
(* y (- 1 (pow (- z (log z)) 2)))
(pow (- z (log z)) 2)
(* y y)
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (/.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
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(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) y))
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simplify485.0ms (3.8%)

Memory
21.0MiB live, 769.9MiB allocated
Algorithm
egg-herbie
Rules
12 172×accelerator-lowering-fma.f32
12 172×accelerator-lowering-fma.f64
4 980×+-lowering-+.f64
4 980×+-lowering-+.f32
4 380×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823843
112143573
240503429
082093302
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(+ (* 1/2 x) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))
(+ (* 1/2 x) (+ (* z (- (* 2 (/ (* y (log z)) (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))
(+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))
(+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (+ (* z (- (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 3))) (+ (* -1 (/ y (pow (- 1 (log z)) 2))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 4))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3)))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))
(* -1 (* y z))
(* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (* 1/2 (/ x z)))) (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))
(* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))
(* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* y (- 1 (pow (log (/ 1 z)) 2))) (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))))) (pow z 3))) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (- (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))
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Outputs
(+ (* 1/2 x) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))
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(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (- z (log z)) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(* y (- 1 (pow (log z) 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))))
(+ (* 2 (* y (* z (log z)))) (* y (- 1 (pow (log z) 2))))
(*.f64 y (fma.f64 (*.f64 z (log.f64 z)) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))))
(+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 z (*.f64 y (fma.f64 (log.f64 z) #s(literal 2 binary64) (neg.f64 z)))))
(+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 z (*.f64 y (fma.f64 (log.f64 z) #s(literal 2 binary64) (neg.f64 z)))))
(* -1 (* y (pow z 2)))
(*.f64 y (*.f64 z (neg.f64 z)))
(* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (* -1 y)))
(*.f64 (*.f64 z z) (-.f64 (/.f64 (*.f64 y (*.f64 (log.f64 z) #s(literal 2 binary64))) z) y))
(* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))
(*.f64 (*.f64 z z) (fma.f64 y (fma.f64 (neg.f64 (/.f64 (log.f64 z) z)) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 z z))) (neg.f64 y)))
(* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))
(*.f64 (*.f64 z z) (fma.f64 y (fma.f64 (neg.f64 (/.f64 (log.f64 z) z)) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 z z))) (neg.f64 y)))
(* -1 (* y (pow z 2)))
(*.f64 y (*.f64 z (neg.f64 z)))
(* (pow z 2) (+ (* -1 y) (/ (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) z)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 z))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 y z)) y))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))
(*.f64 (*.f64 z z) (-.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 z))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) #s(literal 2 binary64))) z)))) z) y))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))
(*.f64 (*.f64 z z) (-.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 z))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) #s(literal 2 binary64))) z)))) z) y))
(pow (log z) 2)
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(+ (* -2 (* z (log z))) (pow (log z) 2))
(*.f64 (log.f64 z) (fma.f64 z #s(literal -2 binary64) (log.f64 z)))
(+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))
(fma.f64 (log.f64 z) (fma.f64 z #s(literal -2 binary64) (log.f64 z)) (*.f64 z z))
(+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))
(fma.f64 (log.f64 z) (fma.f64 z #s(literal -2 binary64) (log.f64 z)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* 2 (/ (log (/ 1 z)) z))))
(*.f64 z (fma.f64 z (/.f64 (*.f64 (log.f64 z) #s(literal -2 binary64)) z) z))
(* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))
(*.f64 (*.f64 z z) (fma.f64 (neg.f64 (/.f64 (log.f64 z) z)) (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (log.f64 z) z))) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))
(*.f64 (*.f64 z z) (fma.f64 (neg.f64 (/.f64 (log.f64 z) z)) (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (log.f64 z) z))) #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (* 2 (log -1))) z))))
(*.f64 z (fma.f64 z (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 z))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) z)) z))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))
(*.f64 z (fma.f64 z (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 z))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) #s(literal 2 binary64)) z)) (neg.f64 z)) z))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))
(*.f64 z (fma.f64 z (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 z))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) #s(literal 2 binary64)) z)) (neg.f64 z)) z))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval375.0ms (2.9%)

Memory
12.3MiB live, 559.5MiB allocated
Compiler

Compiled 50 875 to 5 431 computations (89.3% saved)

prune448.0ms (3.5%)

Memory
8.2MiB live, 776.2MiB allocated
Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New2 341252 366
Fresh3912
Picked235
Done055
Total2 346422 388
Accuracy
100.0%
Counts
2 388 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.0%
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
54.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
67.1%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
71.7%
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
67.8%
(fma.f64 y (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z) y)
67.8%
(fma.f64 y (-.f64 (log.f64 z) z) y)
39.2%
(fma.f64 y (neg.f64 z) y)
61.3%
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
29.2%
(fma.f64 y (log.f64 z) y)
61.3%
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
15.7%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
32.8%
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
40.2%
(/.f64 z (/.f64 #s(literal -1 binary64) y))
67.7%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
67.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)))
48.8%
(+.f64 (/.f64 (*.f64 (-.f64 (log.f64 z) z) (*.f64 y (neg.f64 y))) (neg.f64 y)) y)
67.8%
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
29.2%
(+.f64 (*.f64 y (log.f64 z)) y)
71.6%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
28.7%
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
14.3%
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
40.2%
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
6.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
11.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
14.3%
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
32.7%
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
33.4%
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
10.2%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
14.8%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
18.6%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
14.3%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
14.6%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
7.6%
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
33.9%
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
7.6%
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
40.2%
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
33.9%
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
40.2%
(*.f64 z (neg.f64 y))
55.6%
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 1/2 binary64)))
65.2%
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
34.2%
(*.f64 #s(literal 1/2 binary64) x)
1.8%
y
Compiler

Compiled 1 404 to 566 computations (59.7% saved)

regimes161.0ms (1.2%)

Memory
10.3MiB live, 244.0MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 y (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z) y)
(*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(+.f64 (/.f64 (*.f64 (-.f64 (log.f64 z) z) (*.f64 y (neg.f64 y))) (neg.f64 y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y)))
(*.f64 z (-.f64 (fma.f64 y (/.f64 (log.f64 z) z) (/.f64 y z)) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
(fma.f64 (-.f64 (/.f64 (log.f64 z) x) (/.f64 z x)) (*.f64 y x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) y) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
Calls

7 calls:

32.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
32.0ms
y
24.0ms
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
18.0ms
(*.f64 x #s(literal 1/2 binary64))
18.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
99.9%1(*.f64 x #s(literal 1/2 binary64))
99.9%1(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes120.0ms (0.9%)

Memory
-12.0MiB live, 189.2MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
Outputs
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
Calls

7 calls:

39.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
17.0ms
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
13.0ms
z
13.0ms
x
12.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
99.9%1(*.f64 x #s(literal 1/2 binary64))
99.9%1(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes100.0ms (0.8%)

Memory
-20.7MiB live, 215.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
Outputs
(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
Calls

7 calls:

14.0ms
y
14.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
13.0ms
(*.f64 x #s(literal 1/2 binary64))
12.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
11.0ms
x
Results
AccuracySegmentsBranch
90.4%3x
85.8%4y
98.7%2z
83.2%3(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
90.4%3(*.f64 x #s(literal 1/2 binary64))
88.5%3(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
98.6%2(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes65.0ms (0.5%)

Memory
19.3MiB live, 93.3MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
Outputs
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
Calls

4 calls:

29.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
13.0ms
x
11.0ms
(*.f64 x #s(literal 1/2 binary64))
11.0ms
z
Results
AccuracySegmentsBranch
90.4%3x
90.4%3(*.f64 x #s(literal 1/2 binary64))
80.3%2(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
80.3%2z
Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes28.0ms (0.2%)

Memory
10.4MiB live, 49.9MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (-.f64 (log.f64 z) z) y)
Outputs
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

15.0ms
(*.f64 x #s(literal 1/2 binary64))
10.0ms
x
Results
AccuracySegmentsBranch
90.4%3x
90.4%3(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes93.0ms (0.7%)

Memory
-6.4MiB live, 230.2MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
Outputs
(fma.f64 y (log.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
Calls

7 calls:

20.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
13.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
12.0ms
z
12.0ms
(*.f64 x #s(literal 1/2 binary64))
11.0ms
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
Results
AccuracySegmentsBranch
79.4%2z
79.1%2(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
71.7%1(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
71.7%1y
71.7%1(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
71.7%1x
71.7%1(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes49.0ms (0.4%)

Memory
-1.4MiB live, 116.3MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 z (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 y (/.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y y) z) (neg.f64 y))
(*.f64 x (fma.f64 (/.f64 y x) (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) y)) y)
(*.f64 (*.f64 (neg.f64 y) (/.f64 z (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 y y))
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) y)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z (/.f64 y (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y))))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 y y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y)))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 z (*.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
Outputs
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
Calls

4 calls:

15.0ms
(*.f64 x #s(literal 1/2 binary64))
11.0ms
z
11.0ms
x
10.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
Results
AccuracySegmentsBranch
71.7%1x
71.7%1(*.f64 x #s(literal 1/2 binary64))
71.7%1(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
71.7%1z
Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes19.0ms (0.1%)

Memory
13.4MiB live, 52.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(fma.f64 y (neg.f64 z) y)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 y (neg.f64 z) y)
Calls

7 calls:

2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms
(*.f64 x #s(literal 1/2 binary64))
2.0ms
y
2.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
2.0ms
x
Results
AccuracySegmentsBranch
50.7%3(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
60.8%3(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
54.5%3y
60.1%2z
56.0%3x
56.0%3(*.f64 x #s(literal 1/2 binary64))
60.1%2(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes2.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (neg.f64 z))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
60.1%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
-1.2MiB live, 37.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

7 calls:

3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms
(*.f64 x #s(literal 1/2 binary64))
2.0ms
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
2.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
2.0ms
z
Results
AccuracySegmentsBranch
34.2%1(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
34.2%1y
34.2%1x
34.2%1(*.f64 x #s(literal 1/2 binary64))
34.2%1(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
34.2%1(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
34.2%1z
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes14.0ms (0.1%)

Memory
-7.3MiB live, 33.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

7 calls:

5.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms
(*.f64 x #s(literal 1/2 binary64))
1.0ms
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms
x
Results
AccuracySegmentsBranch
1.8%1y
1.8%1(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.8%1x
1.8%1(*.f64 x #s(literal 1/2 binary64))
1.8%1(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.8%1(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.8%1z
Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch14.0ms (0.1%)

Memory
-3.4MiB live, 35.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.20440502494245266
23.46114968378479
Samples
9.0ms112×0valid
Compiler

Compiled 179 to 129 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.8% of total)
ival-sub: 1.0ms (16.6% of total)
ival-log: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2329722391326327e-11
2.1681388533981e-8
0.0ms
-1.9830451424656227e-88
-6.262160194863458e-89
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2329722391326327e-11
2.1681388533981e-8
0.0ms
-1.9830451424656227e-88
-6.262160194863458e-89
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch16.0ms (0.1%)

Memory
-0.8MiB live, 37.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.5180706678940838e-52
5.441667243145719e-49
Samples
10.0ms128×0valid
Compiler

Compiled 178 to 129 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (47.3% of total)
ival-mult: 2.0ms (31.5% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
21.2MiB live, 55.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
4186204251030074400.0
1.0246191221712373e+28
Samples
14.0ms144×0valid
Compiler

Compiled 162 to 125 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 2.0ms (35% of total)
ival-mult: 2.0ms (35% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-31.6MiB live, 49.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
4186204251030074400.0
1.0246191221712373e+28
Samples
14.0ms144×0valid
Compiler

Compiled 153 to 125 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 6.0ms (60.9% of total)
ival-mult: 2.0ms (20.3% of total)
ival-sub: 1.0ms (10.1% of total)
ival-add: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
14×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043145
163145
273145
379145
482145
583145
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(if (<=.f64 z #s(literal 607985949695017/2251799813685248 binary64)) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 z #s(literal 4528428541747959/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (fma.f64 y (log.f64 z) y) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 z #s(literal 14499999999999998951424 binary64)) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y (neg.f64 z) y))
(if (<=.f64 z #s(literal 259999999999999991611392 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (neg.f64 z)))
(*.f64 #s(literal 1/2 binary64) x)
y
Outputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(if (<=.f64 z #s(literal 607985949695017/2251799813685248 binary64)) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 z #s(literal 4528428541747959/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (fma.f64 y (log.f64 z) y) (fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 z) y (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 z #s(literal 14499999999999998951424 binary64)) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y (neg.f64 z) y))
(if (<=.f64 z #s(literal 14499999999999998951424 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y (neg.f64 z) y))
(if (<=.f64 z #s(literal 259999999999999991611392 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (neg.f64 z)))
(if (<=.f64 z #s(literal 259999999999999991611392 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 z (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
y

soundness1.0s (8%)

Memory
-43.0MiB live, 856.1MiB allocated
Rules
12 172×accelerator-lowering-fma.f32
12 172×accelerator-lowering-fma.f64
10 246×accelerator-lowering-fma.f32
10 246×accelerator-lowering-fma.f64
9 802×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04064983
113324661
244914481
081484234
028116
1193107
21950107
09861102
082811
1256789
2767786
32727753
46729750
08128672
01131
16431
259031
0846430
03823843
112143573
240503429
082093302
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 432 to 228 computations (47.2% saved)

preprocess141.0ms (1.1%)

Memory
12.6MiB live, 202.1MiB allocated
Compiler

Compiled 380 to 128 computations (66.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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