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

Time bar (total: 14.8s)

analyze2.0ms (0%)

Algorithm
1×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 16 to 12 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (7.7%)

Results
794.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 532.0ms
ival-log: 202.0ms (37.9% of total)
ival-mult: 141.0ms (26.5% of total)
ival-add: 109.0ms (20.5% of total)
ival-sub: 62.0ms (11.6% of total)
const: 15.0ms (2.8% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess376.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
1904×accelerator-lowering-fma.f32
1904×accelerator-lowering-fma.f64
1482×unsub-neg
1176×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
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
Outputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
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 (* y (+ 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) (* y (+ 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))))
(+ y (+ (* 1/2 z) (* y (- (log x) x))))
(+ (* x 1/2) (* z (+ (- 1 y) (log y))))
(+ (* x 1/2) (+ z (* z (- (log y) y))))

explain151.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
00-0-(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
00-0-y
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-z
00-0-#s(literal 1 binary64)
00-0-(log.f64 z)
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Results
98.0ms512×0valid
Compiler

Compiled 101 to 61 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 33.0ms (49.1% of total)
ival-add: 14.0ms (20.8% of total)
ival-sub: 11.0ms (16.4% of total)
ival-log: 8.0ms (11.9% of total)
const: 2.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

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)

localize191.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
✓cost-diff0
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
✓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)))
Rules
1904×accelerator-lowering-fma.f32
1904×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
1×iter limit
1×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))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y (+ (- 1 z) (log z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
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)
Results
43.0ms256×0valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 7.0ms (28.6% of total)
ival-mult: 7.0ms (28.6% of total)
ival-add: 5.0ms (20.4% of total)
ival-log: 4.0ms (16.4% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series94.0ms (0.6%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (* y (+ (- 1 z) (log z)))>
#<alt (+ (* x 1/2) (* y (+ (- 1 z) (log z))))>
#<alt (+ (- 1 z) (log z))>
#<alt (log z)>
#<alt (* x 1/2)>
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 (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))))>
#<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)>
Calls

24 calls:

TimeVariablePointExpression
37.0ms
y
@0
(* y (+ (- 1 z) (log z)))
18.0ms
z
@-inf
(log z)
9.0ms
z
@0
(log z)
8.0ms
z
@0
(* y (+ (- 1 z) (log z)))
5.0ms
z
@inf
(log z)

rewrite692.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
6726×accelerator-lowering-fma.f32
6726×accelerator-lowering-fma.f64
5962×*-lowering-*.f32
5962×*-lowering-*.f64
3984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
16431
259031
0846830
Stop Event
1×iter limit
1×node limit
Counts
5 → 250
Calls
Call 1
Inputs
(* y (+ (- 1 z) (log z)))
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(+ (- 1 z) (log z))
(log z)
(* x 1/2)
Outputs
(+.f64 y (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z))))
(+.f64 y (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z)) y))
(+.f64 y (+.f64 (neg.f64 (*.f64 y z)) (*.f64 y (log.f64 z))))
(+.f64 y (+.f64 (neg.f64 (*.f64 z y)) (*.f64 y (log.f64 z))))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) (neg.f64 (*.f64 y z)))
(+.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) y) (neg.f64 (*.f64 z y)))
(+.f64 (+.f64 (*.f64 y (log.f64 z)) y) (neg.f64 (*.f64 y z)))
(+.f64 (+.f64 (*.f64 y (log.f64 z)) y) (neg.f64 (*.f64 z y)))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (/.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z)) y))
(fma.f64 y #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 y z)) (*.f64 y (log.f64 z))))
(fma.f64 y #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 z y)) (*.f64 y (log.f64 z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)) (neg.f64 (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z)) y))
(fma.f64 #s(literal 1 binary64) y (+.f64 (neg.f64 (*.f64 y z)) (*.f64 y (log.f64 z))))
(fma.f64 #s(literal 1 binary64) y (+.f64 (neg.f64 (*.f64 z y)) (*.f64 y (log.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
(fma.f64 (log.f64 z) y (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) y) (*.f64 y (log.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) y) (*.f64 y (log.f64 z)))
(fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) y (neg.f64 (*.f64 z y)))
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 y (log.f64 z)))
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 y (log.f64 z)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (*.f64 (*.f64 y (log.f64 z)) (-.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 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.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 y y)) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.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 (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) (*.f64 y (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (+.f64 (*.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)) (-.f64 #s(literal 0 binary64) z)))))
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(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (*.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)) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z)) (+.f64 (-.f64 #s(literal 0 binary64) z) (log.f64 z)))) (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.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 (-.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))))) (pow.f64 (log.f64 z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.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 (-.f64 (*.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)))) (pow.f64 (log.f64 z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))))) (-.f64 (*.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 (-.f64 (*.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)))) (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 (*.f64 (-.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 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.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)))) (pow.f64 (log.f64 z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (+.f64 (*.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 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 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 (+.f64 (*.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 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))))
(*.f64 (+.f64 (*.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 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #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 (-.f64 #s(literal 0 binary64) (+.f64 (*.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 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.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 0 binary64) (-.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 (log.f64 z) (-.f64 #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))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

simplify468.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
9802×accelerator-lowering-fma.f32
9802×accelerator-lowering-fma.f64
2660×*-lowering-*.f32
2660×*-lowering-*.f64
2142×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082811
1256789
2767786
32729753
46733750
08106672
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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 (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))))
(* 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)
Outputs
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (+ 1 (log z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y 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) (log.f64 (/.f64 #s(literal -1 binary64) 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) (log.f64 (/.f64 #s(literal -1 binary64) 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) (log.f64 (/.f64 #s(literal -1 binary64) z)))) z))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (log z)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (*.f64 y z))
(+ 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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) 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) (log.f64 (/.f64 #s(literal -1 binary64) 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) (log.f64 (/.f64 #s(literal -1 binary64) 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) (log.f64 (/.f64 #s(literal -1 binary64) 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)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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)

eval79.0ms (0.5%)

Compiler

Compiled 9290 to 5465 computations (41.2% saved)

prune55.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New32917346
Fresh000
Picked011
Done000
Total32918347
Accuracy
100.0%
Counts
347 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.0%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
30.7%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))
38.7%
(-.f64 #s(literal 0 binary64) (*.f64 y z))
▶99.9%
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
▶62.7%
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
▶66.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
83.8%
(+.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)))))
99.7%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
83.8%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.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)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y))))
79.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
66.7%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.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) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))) y)))
67.6%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (*.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)) z))))))
67.6%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))))))
✓99.9%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
▶85.0%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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)))))))
58.6%
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
▶42.9%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 841 to 577 computations (31.4% saved)

localize852.0ms (5.7%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff128
(*.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)))))
✓cost-diff128
(*.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))))))
✓cost-diff128
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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)))))))
✓cost-diff0
(log.f64 z)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (log.f64 z))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
✓cost-diff0
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
✓cost-diff128
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
✓accuracy99.6%
(*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))
✓accuracy99.4%
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))
✓accuracy95.4%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y)
✓accuracy71.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))))
✓accuracy99.8%
(*.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))))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓accuracy99.6%
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
✓accuracy75.0%
(*.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)))))
✓accuracy100.0%
(log.f64 z)
✓accuracy100.0%
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (log.f64 z))
✓accuracy99.5%
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
✓accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓accuracy99.9%
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
✓accuracy99.6%
(*.f64 y (log.f64 z))
Rules
8482×accelerator-lowering-fma.f32
8482×accelerator-lowering-fma.f64
4144×--lowering--.f32
4144×--lowering--.f64
3132×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034267
185259
2197259
3732259
42700259
56064259
08168245
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (+ (* x 1/2) (* y (- 1 z))) (* y (log z)))
(+ (* x 1/2) (* y (- 1 z)))
(* x 1/2)
x
1/2
(* y (- 1 z))
y
(- 1 z)
1
z
(* y (log z))
(log z)
(* 1/2 x)
(+ (* y (+ 1 (log z))) (* 1/2 x))
(* y (+ 1 (log z)))
(+ 1 (log z))
(+ (* x 1/2) (* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))))
(* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z))))))
(* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))
(- 1 (pow (- z (log z)) 2))
(pow (- z (log z)) 2)
(- z (log z))
2
(/ 1 (+ 1 (- z (log z))))
(+ 1 (- z (log z)))
(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
(/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))
(* (- 1 (pow (- z (log z)) 3)) y)
(- 1 (pow (- z (log z)) 3))
(pow (- z (log z)) 3)
3
(+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))
(* (- z (log z)) (+ (- z (log z)) 1))
(+ (- z (log z)) 1)
Outputs
(+ (+ (* x 1/2) (* y (- 1 z))) (* y (log z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(+ (* x 1/2) (* y (- 1 z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y (- 1 z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* y (log z))
(*.f64 y (log.f64 z))
(log z)
(log.f64 z)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* y (+ 1 (log z))) (* 1/2 x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
(* y (+ 1 (log z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+ 1 (log z))
(+.f64 #s(literal 1 binary64) (log.f64 z))
(+ (* x 1/2) (* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))
(* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 y (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))
(* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))
(/.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))))
(- 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))
(- z (log z))
(-.f64 z (log.f64 z))
2
#s(literal 2 binary64)
(/ 1 (+ 1 (- z (log z))))
(/.f64 #s(literal 1 binary64) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))
(+ 1 (- z (log z)))
(+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))
(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
(+.f64 (*.f64 x #s(literal 1/2 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) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
(/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))
(* (- 1 (pow (- z (log z)) 3)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64))))
(- 1 (pow (- z (log z)) 3))
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64)))
(pow (- z (log z)) 3)
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))
(* (- z (log z)) (+ (- z (log z)) 1))
(*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))
(+ (- z (log z)) 1)
(+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))
Results
231.0ms256×0valid
Compiler

Compiled 307 to 147 computations (52.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-mult: 50.0ms (29.7% of total)
ival-pow: 50.0ms (29.7% of total)
ival-add: 29.0ms (17.2% of total)
ival-sub: 17.0ms (10.1% of total)
ival-div: 10.0ms (5.9% of total)
const: 8.0ms (4.8% of total)
ival-log: 4.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.6%)

Counts
20 → 432
Calls
Call 1
Inputs
#<alt (* y (log z))>
#<alt (+ (+ (* x 1/2) (* y (- 1 z))) (* y (log z)))>
#<alt (* y (- 1 z))>
#<alt (+ (* x 1/2) (* y (- 1 z)))>
#<alt (* 1/2 x)>
#<alt (* y (+ 1 (log z)))>
#<alt (+ 1 (log z))>
#<alt (+ (* y (+ 1 (log z))) (* 1/2 x))>
#<alt (log z)>
#<alt (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))>
#<alt (pow (- z (log z)) 2)>
#<alt (/ 1 (+ 1 (- z (log z))))>
#<alt (* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z))))))>
#<alt (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))>
#<alt (* (- 1 (pow (- z (log z)) 3)) y)>
#<alt (pow (- z (log z)) 3)>
#<alt (* (- z (log z)) (+ (- z (log z)) 1))>
#<alt (* x 1/2)>
#<alt (+ (* x 1/2) (* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))))>
#<alt (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))>
Outputs
#<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 (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 (* 1/2 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 (+ (* 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 (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<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 (* y (- 1 z))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- 1 z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- 1 z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- 1 z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (* 1/2 (/ x y))) z))>
#<alt (* y (- (+ 1 (* 1/2 (/ x y))) z))>
#<alt (* y (- (+ 1 (* 1/2 (/ x y))) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1/2 (/ x y)))))>
#<alt (+ y (* 1/2 x))>
#<alt (+ y (+ (* -1 (* y z)) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y z)) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y z)) (* 1/2 x)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* 1/2 x)) 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)))>
#<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 (* 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 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 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 (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (* y (+ 1 (log z)))>
#<alt (* -1 (* y (+ (* -1 (+ 1 (log z))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 (log z))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 (log z))) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (* -1 (log (/ 1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (* -1 (log (/ 1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (* -1 (log (/ 1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (* -1 (log (/ 1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))>
#<alt (* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))>
#<alt (* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (log z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (log z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (log z))) x)) 1/2)))>
#<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 (pow (log z) 2)) (- 1 (log z)))>
#<alt (- (+ (* z (- (+ (* 2 (/ (log z) (- 1 (log z)))) (/ (pow (log z) 2) (pow (- 1 (log z)) 2))) (/ 1 (pow (- 1 (log z)) 2)))) (/ 1 (- 1 (log z)))) (/ (pow (log z) 2) (- 1 (log z))))>
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#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* y (+ (* (+ (log -1) (* -1 (log (/ -1 z)))) (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) (+ (* -1 (* (- (* y (+ (log -1) (+ (* -2 (log (/ -1 z))) (+ (* -1 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))))) (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z))))))) (* y (+ 1 (* -1 (* (+ (log -1) (* -1 (log (/ -1 z)))) (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (log -1) (+ (* -2 (log (/ -1 z))) (+ (* -1 (log (/ -1 z))) (* 2 (log -1)))))))) (* -1 (* y (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* y (- 1 (* -1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 3)))) (+ (* -1 (* (- (* y (+ (* (+ (log -1) (* -1 (log (/ -1 z)))) (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) (+ (* -1 (* (- (* y (+ (log -1) (+ (* -2 (log (/ -1 z))) (+ (* -1 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))))) (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z))))))) (* y (+ 1 (* -1 (* (+ (log -1) (* -1 (log (/ -1 z)))) (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z))))))) (* (+ 1 (* -1 (* (+ (log -1) (* -1 (log (/ -1 z)))) (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) (- (* y (+ (log -1) (+ (* -2 (log (/ -1 z))) (+ (* -1 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (* y (+ (* (+ (log -1) (* -1 (log (/ -1 z)))) (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (+ (* -1 (* (- (* y (+ (log -1) (+ (* -2 (log (/ -1 z))) (+ (* -1 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))))) (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z))))))) (* y (+ 1 (* -1 (* (+ (log -1) (* -1 (log (/ -1 z)))) (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (log -1) (+ (* -2 (log (/ -1 z))) (+ (* -1 (log (/ -1 z))) (* 2 (log -1)))))))) (* -1 (* y (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))))))>
#<alt (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 3)) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 3)) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 3)) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (* -1/2 (/ x y)))))>
Calls

108 calls:

TimeVariablePointExpression
15.0ms
y
@0
(* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z))))))
4.0ms
z
@0
(/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))
3.0ms
z
@inf
(* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))
2.0ms
z
@-inf
(/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))
2.0ms
z
@inf
(/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))

rewrite799.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
5490×*-lowering-*.f32
5490×*-lowering-*.f64
3920×accelerator-lowering-fma.f32
3920×accelerator-lowering-fma.f64
3158×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034178
1245145
22410145
08233138
Stop Event
1×iter limit
1×node limit
Counts
20 → 749
Calls
Call 1
Inputs
(* y (log z))
(+ (+ (* x 1/2) (* y (- 1 z))) (* y (log z)))
(* y (- 1 z))
(+ (* x 1/2) (* y (- 1 z)))
(* 1/2 x)
(* y (+ 1 (log z)))
(+ 1 (log z))
(+ (* y (+ 1 (log z))) (* 1/2 x))
(log z)
(* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))
(pow (- z (log z)) 2)
(/ 1 (+ 1 (- z (log z))))
(* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z))))))
(/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))
(* (- 1 (pow (- z (log z)) 3)) y)
(pow (- z (log z)) 3)
(* (- z (log z)) (+ (- z (log z)) 1))
(* x 1/2)
(+ (* x 1/2) (* y (* (- 1 (pow (- z (log z)) 2)) (/ 1 (+ 1 (- z (log z)))))))
(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
Outputs
(*.f64 y (log.f64 z))
(*.f64 (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (+.f64 (*.f64 y (log.f64 z)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (/.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))) (/.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))))
(fma.f64 y (log.f64 z) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))
(fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.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 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (log.f64 z) y (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (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)))
(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) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 3 binary64))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.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))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 y (log.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 3 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 3 binary64))))) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 y (log.f64 z)))
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) y (*.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 y (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (/.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))) (*.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)))) #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 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #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 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z)))) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))))
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(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 3 binary64))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.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))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 y (log.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 3 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.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 3 binary64))))) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 y (log.f64 z)))
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) y (*.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 y (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (/.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))) (*.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)))) #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 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #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 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z)))) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64))) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z)))) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y (log.f64 z)) (-.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))))
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z))))))

simplify931.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
10712×accelerator-lowering-fma.f32
10712×accelerator-lowering-fma.f64
6706×+-lowering-+.f64
6706×+-lowering-+.f32
5460×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088810877
129799956
086969449
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* 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 (log z)) (* y (- 1 z)))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(* 1/2 x)
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 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))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(+ y (+ (* 1/2 x) (* y (log z))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
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(*.f64 (-.f64 y (/.f64 (+.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -3 binary64)) (+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64)))))) (/.f64 (-.f64 (-.f64 (*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) #s(literal 3 binary64)))) (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -3 binary64)) (+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -3 binary64)) (+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))))))) z)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -3 binary64)) (+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))))) z)) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) z)) (-.f64 #s(literal 0 binary64) z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
(+ (* 1/2 x) (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
(+ (* 1/2 x) (* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
(* y (- (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))
(* y (- (+ (* 1/2 (/ x y)) (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))))
(* y (- (+ (* 1/2 (/ x y)) (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))))
(* y (- (+ (* 1/2 (/ x y)) (/ 1 (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (/ (pow (- z (log z)) 3) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))))
(/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))
(* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 3)) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (* -1/2 (/ x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))))
(* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 3)) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (* -1/2 (/ x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))))
(* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 3)) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))) (* -1/2 (/ x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))))))))

eval521.0ms (3.5%)

Compiler

Compiled 49970 to 25086 computations (49.8% saved)

prune375.0ms (2.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1325121337
Fresh7512
Picked325
Done101
Total1336191355
Accuracy
100.0%
Counts
1355 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))
▶38.7%
(-.f64 #s(literal 0 binary64) (*.f64 y z))
62.3%
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) x))
58.6%
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
✓62.7%
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
57.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 z z) (pow.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) #s(literal 3 binary64)))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
▶99.7%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
79.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
▶83.8%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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))))))
99.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))))
▶48.3%
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
82.1%
(*.f64 z (+.f64 (*.f64 y (/.f64 (log.f64 z) z)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) (-.f64 (/.f64 y z) y))))
58.6%
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
21.7%
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
73.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
57.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) x)))
85.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (/.f64 (log.f64 z) x) (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
✓42.9%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 729 to 509 computations (30.2% saved)

localize863.0ms (5.8%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff128
(*.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)))))
✓cost-diff128
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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))))))
✓cost-diff0
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓cost-diff0
(+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(log.f64 z)
✓cost-diff0
(*.f64 y (log.f64 z))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
✓cost-diff128
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓accuracy99.6%
(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
✓accuracy94.6%
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
✓accuracy89.0%
(*.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)))))
✓accuracy100.0%
(+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(log.f64 z)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
✓accuracy99.6%
(*.f64 y (log.f64 z))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 y z))
✓accuracy100.0%
(*.f64 y 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 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓accuracy99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Rules
6848×accelerator-lowering-fma.f32
6848×accelerator-lowering-fma.f64
2332×*-lowering-*.f32
2332×*-lowering-*.f64
1874×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031211
173197
2164197
3470197
41391197
54863197
08138185
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x 1/2) (/ y (/ 1 (+ (- 1 z) (log z)))))
(* x 1/2)
x
1/2
(/ y (/ 1 (+ (- 1 z) (log z))))
y
(/ 1 (+ (- 1 z) (log z)))
1
(+ (- 1 z) (log z))
(- 1 z)
z
(log z)
(- 0 (* y z))
0
(* y z)
(+ (* 1/2 x) (* y (log z)))
(* 1/2 x)
(* y (log z))
(/ 1 (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))))
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
(+ (* y (+ (- 1 z) (log z))) (* x 1/2))
(* y (+ (- 1 z) (log z)))
(+ (* x 1/2) (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))))
(* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2))))
(/ 1 (+ 1 (- z (log z))))
(+ 1 (- z (log z)))
(- z (log z))
(* y (- 1 (pow (- z (log z)) 2)))
(- 1 (pow (- z (log z)) 2))
(pow (- z (log z)) 2)
2
Outputs
(+ (* x 1/2) (/ y (/ 1 (+ (- 1 z) (log z)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 z #s(literal -1 binary64)) (log.f64 z))))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(/ y (/ 1 (+ (- 1 z) (log z))))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
y
(/ 1 (+ (- 1 z) (log z)))
(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1
#s(literal 1 binary64)
(+ (- 1 z) (log z))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
z
(log z)
(log.f64 z)
(- 0 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
0
#s(literal 0 binary64)
(* y z)
(*.f64 y z)
(+ (* 1/2 x) (* y (log z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (log.f64 z)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* y (log z))
(*.f64 y (log.f64 z))
(/ 1 (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 z #s(literal -1 binary64)) (log.f64 z))))
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 z #s(literal -1 binary64)) (log.f64 z)))))
(+ (* y (+ (- 1 z) (log z))) (* x 1/2))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (+.f64 z #s(literal -1 binary64)) (log.f64 z))))
(* y (+ (- 1 z) (log z)))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+ (* x 1/2) (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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 z (log.f64 z))))))
(* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2))))
(*.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 z (log.f64 z)))))
(/ 1 (+ 1 (- z (log z))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+ 1 (- z (log z)))
(+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(- z (log z))
(-.f64 z (log.f64 z))
(* 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))))
(- 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)
Results
191.0ms256×0valid
Compiler

Compiled 251 to 131 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 37.0ms (28.7% of total)
ival-sub: 25.0ms (19.4% of total)
ival-add: 22.0ms (17.1% of total)
ival-div: 20.0ms (15.5% of total)
ival-pow: 14.0ms (10.9% of total)
const: 7.0ms (5.4% of total)
ival-log: 5.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
20 → 468
Calls
Call 1
Inputs
#<alt (/ y (/ 1 (+ (- 1 z) (log z))))>
#<alt (/ 1 (+ (- 1 z) (log z)))>
#<alt (+ (* x 1/2) (/ y (/ 1 (+ (- 1 z) (log z)))))>
#<alt (+ (- 1 z) (log z))>
#<alt (* y z)>
#<alt (- 0 (* y z))>
#<alt (* y (log z))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (log z)>
#<alt (* 1/2 x)>
#<alt (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))>
#<alt (/ 1 (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))))>
#<alt (* y (+ (- 1 z) (log z)))>
#<alt (+ (* y (+ (- 1 z) (log z))) (* x 1/2))>
#<alt (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2))))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (pow (- z (log z)) 2)>
#<alt (/ 1 (+ 1 (- z (log z))))>
#<alt (* x 1/2)>
#<alt (+ (* x 1/2) (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))))>
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 (/ 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 (* 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 (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 (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 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 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 (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 (* 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 (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 (/ 2 x)>
#<alt (+ (* -4 (/ (* y (- (+ 1 (log z)) z)) (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (* 8 (/ (* y (pow (- (+ 1 (log z)) z) 2)) (pow x 3))) (* 4 (/ (- (+ 1 (log z)) z) (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (* y (- (* -16 (/ (* y (pow (- (+ 1 (log z)) z) 3)) (pow x 4))) (* -8 (/ (pow (- (+ 1 (log z)) z) 2) (pow x 3))))) (* 4 (/ (- (+ 1 (log z)) z) (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ 1 (* y (- (+ 1 (log z)) z)))>
#<alt (/ (+ (* -1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (- (+ 1 (log z)) z))) y)>
#<alt (/ (- (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (- (+ 1 (log z)) z) 3)))) (/ 1 (- (+ 1 (log z)) z))) (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2))))) y)>
#<alt (/ (- (+ (* -1/8 (/ (pow x 3) (* (pow y 3) (pow (- (+ 1 (log z)) z) 4)))) (/ 1 (- (+ 1 (log z)) z))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (- (+ 1 (log z)) z) 3)))) (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))))) y)>
#<alt (/ 1 (* y (- (+ 1 (log z)) z)))>
#<alt (* -1 (/ (- (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (- (+ 1 (log z)) z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow x 2) (* y (pow (- (+ 1 (log z)) z) 3)))) (* 1/2 (/ x (pow (- (+ 1 (log z)) z) 2)))) y)) (/ 1 (- (+ 1 (log z)) z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) (* y (pow (- (+ 1 (log z)) z) 4)))) (* 1/4 (/ (pow x 2) (pow (- (+ 1 (log z)) z) 3)))) y)) (* 1/2 (/ x (pow (- (+ 1 (log z)) z) 2)))) y)) (/ 1 (- (+ 1 (log z)) z))) y))>
#<alt (/ 1 (+ (* 1/2 x) (* y (+ 1 (log z)))))>
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#<alt (* 1/2 x)>
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#<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)))))>
Calls

117 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
2.0ms
z
@0
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
1.0ms
z
@inf
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
1.0ms
x
@0
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
0.0ms
y
@0
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))

rewrite717.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4496×*-lowering-*.f32
4496×*-lowering-*.f64
4278×/-lowering-/.f32
4278×/-lowering-/.f64
3588×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031165
1222151
21948151
08453145
Stop Event
1×iter limit
1×node limit
Counts
20 → 1680
Calls
Call 1
Inputs
(/ y (/ 1 (+ (- 1 z) (log z))))
(/ 1 (+ (- 1 z) (log z)))
(+ (* x 1/2) (/ y (/ 1 (+ (- 1 z) (log z)))))
(+ (- 1 z) (log z))
(* y z)
(- 0 (* y z))
(* y (log z))
(+ (* 1/2 x) (* y (log z)))
(log z)
(* 1/2 x)
(/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2)))
(/ 1 (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))))
(* y (+ (- 1 z) (log z)))
(+ (* y (+ (- 1 z) (log z))) (* x 1/2))
(* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2))))
(* y (- 1 (pow (- z (log z)) 2)))
(pow (- z (log z)) 2)
(/ 1 (+ 1 (- z (log z))))
(* x 1/2)
(+ (* x 1/2) (* (/ 1 (+ 1 (- z (log z)))) (* y (- 1 (pow (- z (log z)) 2)))))
Outputs
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(-.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))) (/.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 y (log.f64 z)))
(fma.f64 (log.f64 z) y (*.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)))) y (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 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 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (/.f64 y (/.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 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (+.f64 (*.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 y (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (/.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))))
(/.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.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 z (log.f64 z))))
(/.f64 (*.f64 y (+.f64 (*.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 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 y (+.f64 (*.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 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (*.f64 y (-.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) z) (log.f64 z)))
(/.f64 (*.f64 y (-.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 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.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 z (log.f64 z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.f64 (+.f64 (*.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 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (-.f64 (pow.f64 (*.f64 y (log.f64 z)) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z))))))
(/.f64 (-.f64 (*.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 2 binary64))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (-.f64 z (log.f64 z)))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) 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 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 4 binary64))) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) 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 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.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 z (log.f64 z)))))
(/.f64 (*.f64 (+.f64 (*.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))) y) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))))
(/.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 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.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 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (*.f64 (*.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))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (*.f64 (*.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))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (*.f64 (*.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)))))) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (*.f64 (*.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))))))))

simplify780.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
7758×accelerator-lowering-fma.f32
7758×accelerator-lowering-fma.f64
5812×*-lowering-*.f32
5812×*-lowering-*.f64
3844×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07237581
123127198
081996777
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
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(*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) (-.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)) z) y)) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 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)))))
(*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 z z))))) (-.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)) z) (+.f64 (/.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal -1 binary64))) z) (*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 (*.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) (*.f64 z z)))))))
(* 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)))))
(*.f64 z (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)) z) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 (*.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))) (+.f64 (log.f64 z) #s(literal -1 binary64))))) (*.f64 z (*.f64 z z))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 z z)))))) (+.f64 (/.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal -1 binary64))) z) (*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 (*.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) (*.f64 z z)))))))
(* -1 (* y z))
(*.f64 z (-.f64 #s(literal 0 binary64) y))
(* -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)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))) z))))
(* -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)))))
(*.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))))) z) (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -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)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y (/.f64 (+.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 (*.f64 y (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))))))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) z) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) #s(literal 2 binary64)))))) z)) (*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) z))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.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 z (log.f64 z))))))
(+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.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 z (log.f64 z))))))
(+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.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 z (log.f64 z))))))
(* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))
(*.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 z (log.f64 z)))))
(* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.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))))))
(* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.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))))))
(* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.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))))))
(/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))
(*.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 z (log.f64 z)))))
(* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.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)))))))
(* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.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)))))))
(* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.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)))))))

eval853.0ms (5.7%)

Compiler

Compiled 72724 to 43699 computations (39.9% saved)

prune408.0ms (2.8%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New2316182334
Fresh6612
Picked415
Done022
Total2326272353
Accuracy
100.0%
Counts
2353 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
11.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
46.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
58.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
42.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
38.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
27.8%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
33.6%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
▶24.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
38.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
62.3%
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) x))
58.6%
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
✓62.7%
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
62.6%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))))
▶99.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)))))))
79.3%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
▶99.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))))
✓48.3%
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
11.6%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
58.6%
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
▶21.7%
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
8.0%
(*.f64 y (log.f64 z))
73.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
90.6%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x))))
✓42.9%
(*.f64 #s(literal 1/2 binary64) x)
▶38.7%
(neg.f64 (*.f64 y z))
Compiler

Compiled 782 to 559 computations (28.5% saved)

localize1.1s (7.1%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff384
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)))))
✓cost-diff512
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))))))
✓cost-diff512
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)))))))
✓cost-diff0
(log.f64 z)
✓cost-diff0
(+.f64 (log.f64 z) #s(literal 1 binary64))
✓cost-diff0
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 (*.f64 z z) y)
✓cost-diff512
(*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z))
✓cost-diff512
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
✓cost-diff-64
(neg.f64 (*.f64 y z))
✓cost-diff0
(*.f64 y z)
✓cost-diff6784
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
✓cost-diff7168
(*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))
✓cost-diff7168
(*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))))
✓cost-diff7168
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))))
✓accuracy99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))))))
✓accuracy99.6%
(/.f64 (log.f64 z) z)
✓accuracy99.6%
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))
✓accuracy99.4%
(*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))))
✓accuracy100.0%
(log.f64 z)
✓accuracy100.0%
(+.f64 (log.f64 z) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy89.9%
(/.f64 (*.f64 y y) z)
✓accuracy87.8%
(/.f64 (*.f64 z z) y)
✓accuracy58.8%
(*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(neg.f64 (*.f64 y z))
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)
✓accuracy99.6%
(/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))
✓accuracy99.4%
(*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))
✓accuracy99.2%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
Rules
13842×accelerator-lowering-fma.f32
13842×accelerator-lowering-fma.f64
2974×*-lowering-*.f32
2974×*-lowering-*.f64
1352×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038270
1102270
2275259
31122219
44394179
08054172
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x 1/2) (* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))))
(* x 1/2)
x
1/2
(* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))))
y
(* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))
z
(- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))
(* -2 (/ (log z) (- 0 z)))
-2
(/ (log z) (- 0 z))
(log z)
(- 0 z)
0
(- 1 (/ (- 1 (log z)) z))
1
(/ (- 1 (log z)) z)
(- 1 (log z))
(neg (* y z))
(* y z)
(- 0 (* (/ (* z z) y) (/ (* y y) z)))
(* (/ (* z z) y) (/ (* y y) z))
(/ (* z z) y)
(* z z)
(/ (* y y) z)
(* y y)
(* y (+ (log z) 1))
(+ (log z) 1)
(+ (* x 1/2) (/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))))
(/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))))
(/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))
(* z (+ -1 (+ (/ 1 z) (/ (log z) z))))
(+ -1 (+ (/ 1 z) (/ (log z) z)))
-1
(+ (/ 1 z) (/ (log z) z))
(/ 1 z)
(/ (log z) z)
Outputs
(+ (* x 1/2) (* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
y
(* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))
(+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))
z
(- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)))
(* -2 (/ (log z) (- 0 z)))
(/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) z)
-2
#s(literal -2 binary64)
(/ (log z) (- 0 z))
(neg.f64 (/.f64 (log.f64 z) z))
(log z)
(log.f64 z)
(- 0 z)
(neg.f64 z)
0
#s(literal 0 binary64)
(- 1 (/ (- 1 (log z)) z))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 z) #s(literal -1 binary64)) z))
1
#s(literal 1 binary64)
(/ (- 1 (log z)) z)
(/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)
(- 1 (log z))
(-.f64 #s(literal 1 binary64) (log.f64 z))
(neg (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* y z)
(*.f64 y z)
(- 0 (* (/ (* z z) y) (/ (* y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* (/ (* z z) y) (/ (* y y) z))
(*.f64 y z)
(/ (* z z) y)
(/.f64 z (/.f64 y z))
(* z z)
(*.f64 z z)
(/ (* y y) z)
(*.f64 y (/.f64 y z))
(* y y)
(*.f64 y y)
(* y (+ (log z) 1))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+ (log z) 1)
(+.f64 (log.f64 z) #s(literal 1 binary64))
(+ (* x 1/2) (/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))
(/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(* z (+ -1 (+ (/ 1 z) (/ (log z) z))))
(+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))
(+ -1 (+ (/ 1 z) (/ (log z) z)))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)))
-1
#s(literal -1 binary64)
(+ (/ 1 z) (/ (log z) z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (log z) z)
(/.f64 (log.f64 z) z)
Results
300.0ms256×0valid
Compiler

Compiled 298 to 150 computations (49.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-div: 77.0ms (40.8% of total)
ival-mult: 53.0ms (28.1% of total)
ival-sub: 28.0ms (14.8% of total)
ival-add: 17.0ms (9% of total)
const: 6.0ms (3.2% of total)
ival-log: 5.0ms (2.7% of total)
ival-neg: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series66.0ms (0.4%)

Counts
23 → 432
Calls
Call 1
Inputs
#<alt (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))>
#<alt (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))>
#<alt (/ (log z) (- 0 z))>
#<alt (/ (- 1 (log z)) z)>
#<alt (neg (* y z))>
#<alt (* y z)>
#<alt (* (/ (* z z) y) (/ (* y y) z))>
#<alt (/ (* z z) y)>
#<alt (/ (* y y) z)>
#<alt (* y y)>
#<alt (* y (+ (log z) 1))>
#<alt (+ (log z) 1)>
#<alt (log z)>
#<alt (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))>
#<alt (+ (/ 1 z) (/ (log z) z))>
#<alt (/ (log z) z)>
#<alt (/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))))>
#<alt (+ (* x 1/2) (* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))))>
#<alt (* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))))>
#<alt (- 0 (* (/ (* z z) y) (/ (* y y) z)))>
#<alt (* z z)>
#<alt (+ (* x 1/2) (/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))))>
#<alt (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))>
Outputs
#<alt (/ (- (+ 1 (* 2 (log z))) (log z)) z)>
#<alt (/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)>
#<alt (/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)>
#<alt (/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)>
#<alt -1>
#<alt (- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z))))>
#<alt (- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z))))>
#<alt (- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)) 1)>
#<alt (- (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)) 1)>
#<alt (- (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)) 1)>
#<alt (- (+ 1 (* 2 (log z))) (log z))>
#<alt (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z))>
#<alt (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z))>
#<alt (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z)))))>
#<alt (* z (- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z)))))>
#<alt (* z (- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z)))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)) (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)) (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)) (* -1 (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))))))>
#<alt (* -1 (/ (log z) z))>
#<alt (* -1 (/ (log z) z))>
#<alt (* -1 (/ (log z) z))>
#<alt (* -1 (/ (log z) z))>
#<alt (/ (log (/ 1 z)) z)>
#<alt (/ (log (/ 1 z)) z)>
#<alt (/ (log (/ 1 z)) z)>
#<alt (/ (log (/ 1 z)) z)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))>
#<alt (/ (- 1 (log z)) z)>
#<alt (/ (- 1 (log z)) z)>
#<alt (/ (- 1 (log z)) z)>
#<alt (/ (- 1 (log z)) z)>
#<alt (/ (- 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (- 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (- 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (- 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)>
#<alt (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)>
#<alt (/ (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)>
#<alt (/ (- 1 (+ (log -1) (* -1 (log (/ -1 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 (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) z)>
#<alt (/ (pow y 2) 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)>
#<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 (* 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 (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 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 (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 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) (/ 1 z))))>
#<alt (* -1 (* z (- (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) (/ 1 z))))>
#<alt (* -1 (* z (- (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) (/ 1 z))))>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) 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 (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<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 (/ (* y (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1)) z))))>
#<alt (* -1 (* z (+ y (/ (* y (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1)) z))))>
#<alt (* -1 (* z (+ y (/ (* y (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1)) z))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) x)))>
#<alt (* x (+ 1/2 (/ (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) x)))>
#<alt (* x (+ 1/2 (/ (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z))))) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (* 2 (log z))) (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (- (+ 1 (* 2 (log z))) (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (- (+ 1 (* 2 (log z))) (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (- (+ 1 (* 2 (log z))) (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- (+ 1 (* -2 (log (/ 1 z)))) (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- (+ 1 (* -2 (log (/ 1 z)))) (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- (+ 1 (* -2 (log (/ 1 z)))) (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* -1 (* y (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* -1 (* y (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* -1 (* y (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) (* 1/2 x)) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (* z (- (+ (* 2 (/ (log z) z)) (/ 1 z)) (+ 1 (/ (log z) z)))))>
#<alt (* y (- (+ 1 (* 2 (log z))) (log z)))>
#<alt (+ (* -1 (* y z)) (* y (- (+ 1 (* 2 (log z))) (log z))))>
#<alt (+ (* -1 (* y z)) (* y (- (+ 1 (* 2 (log z))) (log z))))>
#<alt (+ (* -1 (* y z)) (* y (- (+ 1 (* 2 (log z))) (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (- (+ 1 (* -2 (log (/ 1 z)))) (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (- (+ 1 (* -2 (log (/ 1 z)))) (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (- (+ 1 (* -2 (log (/ 1 z)))) (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (/ (* y (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z))))>
#<alt (* -1 (* z (+ y (/ (* y (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z))))>
#<alt (* -1 (* z (+ y (/ (* y (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 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 (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)))>
#<alt (* x (+ 1/2 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)))>
#<alt (* x (+ 1/2 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (+ (* 1/2 x) (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (+ (* 1/2 (/ x y)) (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (* y (+ (* 1/2 (/ x y)) (* z (- (+ (/ 1 z) (/ (log z) z)) 1))))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* -1 (* y (+ (* -1 (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) (* -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 (* y (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1))) (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* -1 (* y (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1))) (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* -1 (* y (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1))) (* 1/2 x)) z)))))>
#<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 z)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z))))))) (/ (* (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1)) z)) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z))))))) (* -1 (/ (+ (* -1 (* (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1))) (/ (* (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (pow (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) 2)) z)) z))) z))) z))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(/ (log z) (- 0 z))
4.0ms
z
@-inf
(/ (log z) (- 0 z))
2.0ms
y
@inf
(/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))))
1.0ms
y
@0
(/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))))
1.0ms
x
@0
(+ (* x 1/2) (* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))))

rewrite717.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4580×/-lowering-/.f32
4580×/-lowering-/.f64
4186×accelerator-lowering-fma.f32
4186×accelerator-lowering-fma.f64
3894×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038221
1268213
22728205
09411194
Stop Event
1×iter limit
1×node limit
Counts
23 → 835
Calls
Call 1
Inputs
(- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))
(* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))
(/ (log z) (- 0 z))
(/ (- 1 (log z)) z)
(neg (* y z))
(* y z)
(* (/ (* z z) y) (/ (* y y) z))
(/ (* z z) y)
(/ (* y y) z)
(* y y)
(* y (+ (log z) 1))
(+ (log z) 1)
(log z)
(* z (+ -1 (+ (/ 1 z) (/ (log z) z))))
(+ (/ 1 z) (/ (log z) z))
(/ (log z) z)
(/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z))))))
(+ (* x 1/2) (* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z))))))
(* y (* z (- (* -2 (/ (log z) (- 0 z))) (- 1 (/ (- 1 (log z)) z)))))
(- 0 (* (/ (* z z) y) (/ (* y y) z)))
(* z z)
(+ (* x 1/2) (/ y (/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))))
(/ 1 (* z (+ -1 (+ (/ 1 z) (/ (log z) z)))))
Outputs
(+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)))
(+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))
(-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)))
(-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z))
(-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 z) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)) #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 z) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 z) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)) #s(literal 2 binary64)) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)))))
(-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (log.f64 z) z))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 z) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))) (/.f64 (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal -2 binary64)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 z) z)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(fma.f64 (log.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(fma.f64 (neg.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)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) (/.f64 #s(literal 1 binary64) z) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) z)) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (log.f64 z)) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal -1 binary64)) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (+.f64 z (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 z) z) z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(pow.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))))

simplify805.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
10960×accelerator-lowering-fma.f32
10960×accelerator-lowering-fma.f64
4750×*-lowering-*.f32
4750×*-lowering-*.f64
4002×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02404505
17494178
223703520
084623328
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ (- (+ 1 (* 2 (log z))) (log z)) z)
(/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)
(/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)
(/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)
-1
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(- (+ (* -2 (/ (log (/ 1 z)) z)) (/ 1 z)) (+ 1 (* -1 (/ (log (/ 1 z)) z))))
-1
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(- (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 z))))) (* -1 (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)) 1)
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(* x (+ 1/2 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)))
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(* 1/2 x)
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) x)) 1/2)))
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(* -1 (* y (+ (* -1 (* z (- (+ (/ 1 z) (/ (log z) z)) 1))) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
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(/ 1 (+ 1 (log z)))
(+ (/ 1 (+ 1 (log z))) (/ z (pow (+ 1 (log z)) 2)))
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(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 3)) (/ z (pow (+ 1 (log z)) 4)))) (/ 1 (pow (+ 1 (log z)) 2)))) (/ 1 (+ 1 (log z))))
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(/ (- (* -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)
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(/ (- (+ 1 (+ (* -1 z) (* 2 (log z)))) (log z)) z)
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(/ (- (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z)) 1) z)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)) z)
(/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)))) z)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64))) 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)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 3 binary64))) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ (- (+ 1 (/ 1 z)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 #s(literal -1 binary64)))) z)) z)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z))))))) (/ (* (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1)) z)) z))) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 #s(literal -1 binary64)))) z) #s(literal -1 binary64))) z)) (neg.f64 z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z))))))) (* -1 (/ (+ (* -1 (* (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1))) (/ (* (- 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (pow (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) 2)) z)) z))) z))) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64)) z)) z))) z)) z)

eval497.0ms (3.3%)

Compiler

Compiled 31395 to 17812 computations (43.3% saved)

prune374.0ms (2.5%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1333211354
Fresh10919
Picked325
Done033
Total1346351381
Accuracy
100.0%
Counts
1381 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.6%
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
6.6%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
12.5%
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
29.9%
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
28.3%
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
58.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
42.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
25.1%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
24.7%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
29.9%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
24.6%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
4.3%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
28.4%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
14.2%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
32.1%
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
21.7%
(+.f64 (*.f64 (log.f64 z) y) y)
58.6%
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
✓62.7%
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
62.6%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))))
79.3%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
98.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (*.f64 z y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (*.f64 z y))))
98.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 z y)))
91.1%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))) z))
99.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 z (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (log.f64 z) z)))))
79.4%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
✓48.3%
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
24.7%
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
57.3%
(*.f64 (*.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
58.6%
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
✓21.7%
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
8.0%
(*.f64 y (log.f64 z))
90.6%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x))))
✓42.9%
(*.f64 #s(literal 1/2 binary64) x)
✓38.7%
(neg.f64 (*.f64 y z))
Compiler

Compiled 1686 to 956 computations (43.3% saved)

regimes138.0ms (0.9%)

Counts
69 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 z) y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) x)))
(*.f64 (*.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (/.f64 (log.f64 z) x) (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)))) z))
(*.f64 z (+.f64 (*.f64 y (/.f64 (log.f64 z) z)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) (-.f64 (/.f64 y z) y))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 z y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 z) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 z (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (log.f64 z) z)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 z)) z)) #s(literal -1 binary64)) (*.f64 z y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z) (*.f64 z y))))
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.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)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (*.f64 x (+.f64 z (-.f64 #s(literal 1 binary64) (log.f64 z)))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.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 (*.f64 x #s(literal 1/2 binary64)) (*.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 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.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)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.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) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))) y)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (+.f64 (*.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)) z))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 z z) (pow.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) #s(literal 3 binary64)))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (log.f64 z)))
Calls

7 calls:

21.0ms
x
20.0ms
z
20.0ms
y
20.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
19.0ms
(*.f64 x #s(literal 1/2 binary64))
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)

regimes96.0ms (0.6%)

Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 z) y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) x)))
(*.f64 (*.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
Calls

7 calls:

16.0ms
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
14.0ms
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
13.0ms
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
12.0ms
x
12.0ms
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)

regimes195.0ms (1.3%)

Counts
39 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 z) y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 y (log.f64 z)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) x)))
(*.f64 (*.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
Outputs
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
Calls

4 calls:

106.0ms
(*.f64 x #s(literal 1/2 binary64))
32.0ms
x
31.0ms
y
22.0ms
z
Results
AccuracySegmentsBranch
91.4%3x
87.5%3y
99.1%2z
91.4%3(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes148.0ms (1%)

Counts
35 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 z) y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
Calls

3 calls:

39.0ms
z
26.0ms
x
25.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
91.4%3x
91.4%3(*.f64 x #s(literal 1/2 binary64))
84.7%2z
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes137.0ms (0.9%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 z) y) y)
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(*.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
Calls

4 calls:

43.0ms
y
42.0ms
z
25.0ms
x
24.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
81.0%3z
81.2%3y
81.4%3x
81.4%3(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z)) y)
(/.f64 (/.f64 (*.f64 z z) y) (neg.f64 (/.f64 z (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y z) z) (/.f64 (*.f64 y z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) y) (/.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y z)) (/.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 z (*.f64 y y)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) (/.f64 y (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) #s(literal 0 binary64))))) y) (/.f64 (*.f64 y y) z)))
(*.f64 y (log.f64 z))
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (neg.f64 z)))
Calls

1 calls:

8.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
79.4%1(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes24.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (*.f64 y z))
Calls

3 calls:

14.0ms
y
6.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
65.7%2z
58.5%5y
61.3%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

0.0ms
z
0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
42.9%1y
42.9%1x
42.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.14681758159978137
31373434.63759245
Results
11.0ms144×0valid
Compiler

Compiled 255 to 196 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 2.0ms (30.3% of total)
ival-mult: 2.0ms (30.3% of total)
ival-sub: 1.0ms (15.1% of total)
ival-add: 1.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.5580468805961007e-44
9.046574413762337e-42
0.0ms
-6.682318787385297e-101
-4.6078158965976693e-101
Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.147995862451726e-200
4.7105132759020784e-200
0.0ms
1.1013233270199472e-223
6.573534594257005e-220
Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch19.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
199899654930.42184
31294146603009237000.0
Results
11.0ms144×0valid
Compiler

Compiled 156 to 124 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 2.0ms (30.6% of total)
ival-mult: 2.0ms (30.6% of total)
ival-sub: 1.0ms (15.3% of total)
ival-add: 1.0ms (15.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 143 to 84 computations (41.3% saved)

preprocess61.0ms (0.4%)

Compiler

Compiled 346 to 210 computations (39.3% saved)

end0.0ms (0%)

Profiling

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