Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.4s (15.8%)

Memory
12.9MiB live, 1 022.4MiB allocated
Samples
1.1s8 255×0valid
0.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 647.0ms
ival-sub: 461.0ms (71.3% of total)
ival-log: 115.0ms (17.8% of total)
ival-mult: 60.0ms (9.3% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain80.0ms (0.9%)

Memory
12.3MiB live, 137.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
00-0-(*.f64 x (log.f64 y))
00-0-(-.f64 (*.f64 x (log.f64 y)) z)
00-0-(log.f64 y)
00-0-y
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 7.0ms (38.7% of total)
ival-mult: 6.0ms (33.2% of total)
ival-sub: 4.0ms (22.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess80.0ms (0.9%)

Memory
-17.7MiB live, 67.3MiB allocated
Algorithm
egg-herbie
Rules
400×lower-fma.f64
400×lower-fma.f32
388×sub-neg
308×cancel-sign-sub-inv
304×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03183
17879
223675
365775
4137375
5193975
6216575
7225075
8226775
9226975
078
0118
1188
2358
3728
41418
52698
63728
74748
84998
95038
05038
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Outputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify19.0ms (0.2%)

Memory
-13.5MiB live, 23.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 x (log.f64 y))
cost-diff0
(-.f64 (*.f64 x (log.f64 y)) z)
cost-diff0
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Rules
400×lower-fma.f64
400×lower-fma.f32
160×lower-*.f32
158×lower-*.f64
120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
11823
23523
37223
414123
526923
637223
747423
849923
950323
050323
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (*.f64 x (log.f64 y)) z)
(*.f64 x (log.f64 y))
x
(log.f64 y)
y
z
Outputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(-.f64 (*.f64 x (log.f64 y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
x
(log.f64 y)
y
z

localize20.0ms (0.2%)

Memory
30.6MiB live, 30.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 y)
accuracy0.00390625
(-.f64 (*.f64 x (log.f64 y)) z)
accuracy0.0078125
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
accuracy0.296875
(*.f64 x (log.f64 y))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 3.0ms (40.7% of total)
ival-sub: 2.0ms (27.1% of total)
ival-mult: 2.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series118.0ms (1.3%)

Memory
-23.6MiB live, 165.6MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 y) (* x (log y))) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 y) (* x (log y))) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 y) (* x (log y))) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log y) (* -1 (/ (+ y z) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log y) (* -1 (/ (+ y z) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log y) (* -1 (/ (+ y z) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log y) (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log y) (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log y) (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
29.0ms
y
@-inf
((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y))
26.0ms
x
@0
((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y))
25.0ms
y
@0
((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y))
11.0ms
z
@0
((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y))
7.0ms
y
@inf
((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y))

simplify114.0ms (1.3%)

Memory
32.4MiB live, 153.6MiB allocated
Algorithm
egg-herbie
Rules
9 182×lower-fma.f64
9 182×lower-fma.f32
2 712×lower-*.f64
2 712×lower-*.f32
1 414×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075698
1239674
2657671
32043653
45222653
08082650
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(log y)
(log y)
(log y)
(log y)
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(- (* -1 (* x (log (/ 1 y)))) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y)))))
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(* -1 (+ y z))
(- (* x (log y)) (+ y z))
(- (* x (log y)) (+ y z))
(- (* x (log y)) (+ y z))
(* -1 z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (+ (log y) (* -1 (/ (+ y z) x))))
(* x (+ (log y) (* -1 (/ (+ y z) x))))
(* x (+ (log y) (* -1 (/ (+ y z) x))))
(* x (log y))
(* x (+ (log y) (* -1 (/ z x))))
(* x (+ (log y) (* -1 (/ z x))))
(* x (+ (log y) (* -1 (/ z x))))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x)))))
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x)))))
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x)))))
(* x (log y))
(* -1 (* x (+ (* -1 (log y)) (/ z x))))
(* -1 (* x (+ (* -1 (log y)) (/ z x))))
(* -1 (* x (+ (* -1 (log y)) (/ z x))))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
Outputs
(- (* x (log y)) y)
(fma.f64 (log.f64 y) x (neg.f64 y))
(- (+ (* -1 z) (* x (log y))) y)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (+ (* -1 z) (* x (log y))) y)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (+ (* -1 z) (* x (log y))) y)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* x (log y))
(*.f64 (log.f64 y) x)
(+ (* -1 z) (* x (log y)))
(-.f64 (*.f64 (log.f64 y) x) z)
(+ (* -1 z) (* x (log y)))
(-.f64 (*.f64 (log.f64 y) x) z)
(+ (* -1 z) (* x (log y)))
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 z)
(neg.f64 z)
(* z (- (/ (* x (log y)) z) 1))
(-.f64 (*.f64 (log.f64 y) x) z)
(* z (- (/ (* x (log y)) z) 1))
(-.f64 (*.f64 (log.f64 y) x) z)
(* z (- (/ (* x (log y)) z) 1))
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (+ (* -1 y) (* x (log y))) z)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (+ (* -1 y) (* x (log y))) z)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (+ (* -1 y) (* x (log y))) z)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y (*.f64 (log.f64 y) x))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y (*.f64 (log.f64 y) x))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y (*.f64 (log.f64 y) x))
(- (* -1 (* x (log (/ 1 y)))) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 (* x (log (/ 1 y))))
(*.f64 (log.f64 y) x)
(* -1 (* x (log (/ 1 y))))
(*.f64 (log.f64 y) x)
(* -1 (* x (log (/ 1 y))))
(*.f64 (log.f64 y) x)
(* -1 (* x (log (/ 1 y))))
(*.f64 (log.f64 y) x)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (-.f64 (neg.f64 y) z))
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (-.f64 (neg.f64 y) z))
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (-.f64 (neg.f64 y) z))
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(* -1 (+ y z))
(-.f64 (neg.f64 y) z)
(- (* x (log y)) (+ y z))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (* x (log y)) (+ y z))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(- (* x (log y)) (+ y z))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 z)
(neg.f64 z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(- (* x (log y)) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (+ (log y) (* -1 (/ (+ y z) x))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* x (+ (log y) (* -1 (/ (+ y z) x))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* x (+ (log y) (* -1 (/ (+ y z) x))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (+ (log y) (* -1 (/ z x))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* x (+ (log y) (* -1 (/ z x))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* x (+ (log y) (* -1 (/ z x))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x)))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x)))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x)))))
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z))
(* x (log y))
(*.f64 (log.f64 y) x)
(* -1 (* x (+ (* -1 (log y)) (/ z x))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 (* x (+ (* -1 (log y)) (/ z x))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* -1 (* x (+ (* -1 (log y)) (/ z x))))
(-.f64 (*.f64 (log.f64 y) x) z)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)
(* x (log y))
(*.f64 (log.f64 y) x)

rewrite349.0ms (3.9%)

Memory
-21.2MiB live, 132.6MiB allocated
Rules
4 830×lower-fma.f64
4 830×lower-fma.f32
4 164×lower-*.f32
4 162×lower-*.f64
2 232×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
14320
235620
3550620
0849320
Stop Event
iter limit
node limit
iter limit
Counts
4 → 215
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (*.f64 x (log.f64 y)) z)
(*.f64 x (log.f64 y))
(log.f64 y)
Outputs
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eval36.0ms (0.4%)

Memory
28.3MiB live, 65.7MiB allocated
Compiler

Compiled 7 746 to 674 computations (91.3% saved)

prune18.0ms (0.2%)

Memory
6.1MiB live, 43.3MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New30716323
Fresh000
Picked101
Done000
Total30816324
Accuracy
100.0%
Counts
324 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (neg.f64 y))
99.3%
(fma.f64 (fma.f64 (log.f64 y) x z) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (neg.f64 y))
99.8%
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
78.9%
(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
99.3%
(-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
99.3%
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
61.0%
(-.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) y)
99.8%
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
70.7%
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
68.0%
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
70.7%
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
61.8%
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
33.7%
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
30.2%
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
39.3%
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
Compiler

Compiled 406 to 296 computations (27.1% saved)

simplify320.0ms (3.5%)

Memory
-32.0MiB live, 199.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
cost-diff0
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
cost-diff0
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
cost-diff22080
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))))
cost-diff0
(-.f64 (*.f64 (log.f64 y) x) z)
cost-diff0
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
cost-diff0
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) x)
cost-diff0
(-.f64 (*.f64 (log.f64 y) x) z)
cost-diff0
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
cost-diff0
(neg.f64 z)
cost-diff0
(-.f64 (neg.f64 z) y)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
Rules
11 704×lower-fma.f32
11 698×lower-fma.f64
2 940×lower-*.f32
2 934×lower-*.f64
1 170×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031219
051179
190179
2166179
3368179
4760179
51446179
62414179
73028179
83241179
93262179
103267179
113267179
123451179
134091179
145301179
156413179
167313179
08178179
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
(log.f64 y)
y
x
(-.f64 (neg.f64 z) y)
(neg.f64 z)
z
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(*.f64 (log.f64 y) x)
(log.f64 y)
y
x
z
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
(-.f64 (*.f64 (log.f64 y) x) z)
(*.f64 (log.f64 y) x)
(log.f64 y)
y
x
z
#s(literal -1 binary64)
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))))
x
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(fma.f64 (log.f64 y) x z)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))
(*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))
(/.f64 z (fma.f64 (log.f64 y) x z))
Outputs
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))
(log.f64 y)
y
x
(-.f64 (neg.f64 z) y)
(neg.f64 z)
z
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 x (log.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 x (log.f64 y) (neg.f64 z))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(log.f64 y)
y
x
z
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))
#s(literal 1 binary64)
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))
(pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))
(-.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 x (log.f64 y) (neg.f64 z))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(log.f64 y)
y
x
z
#s(literal -1 binary64)
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))))
(fma.f64 x (log.f64 y) (neg.f64 z))
x
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
(*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(fma.f64 (log.f64 y) x z)
(fma.f64 x (log.f64 y) z)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))
(*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))
(*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))
(*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z)
(/.f64 z (fma.f64 (log.f64 y) x z))
(/.f64 z (fma.f64 x (log.f64 y) z))

localize133.0ms (1.5%)

Memory
-20.2MiB live, 136.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
accuracy0.3720499723958648
(/.f64 z (fma.f64 (log.f64 y) x z))
accuracy0.529628759768442
(pow.f64 (log.f64 y) #s(literal 2 binary64))
accuracy0.5296426209984045
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
accuracy0.0078125
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
accuracy0.20703125
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
accuracy0.25743210078147516
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))
accuracy0.296875
(*.f64 (log.f64 y) x)
accuracy0
(log.f64 y)
accuracy0.00390625
(-.f64 (*.f64 (log.f64 y) x) z)
accuracy0.296875
(*.f64 (log.f64 y) x)
accuracy24.343818814687157
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
accuracy0
(neg.f64 y)
accuracy38.83463435776024
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
accuracy0
(-.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy0
(log.f64 y)
accuracy0.109375
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
Samples
109.0ms256×0valid
Compiler

Compiled 223 to 31 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 27.0ms (36.4% of total)
ival-log: 18.0ms (24.3% of total)
ival-mult: 8.0ms (10.8% of total)
ival-sub: 7.0ms (9.4% of total)
ival-div: 5.0ms (6.7% of total)
ival-pow: 4.0ms (5.4% of total)
ival-neg: 3.0ms (4% of total)
ival-pow2: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series440.0ms (4.9%)

Memory
27.3MiB live, 258.6MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 z) y) (patch (-.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) (patch #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())
Outputs
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) y) (patch (-.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) y) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) y) (patch (-.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) y) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) y) (patch (-.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) y) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) y) (patch (-.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) (patch #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) (patch #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) (patch #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) (patch #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (* x (log y)) y)) (taylor 0 z) (#s(alt (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (- (* x (log y)) y)) (/ z (pow (- (* x (log y)) y) 2))) (taylor 0 z) (#s(alt (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 2)) (/ z (pow (- (* x (log y)) y) 3)))) (/ 1 (- (* x (log y)) y))) (taylor 0 z) (#s(alt (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 3)) (/ z (pow (- (* x (log y)) y) 4)))) (/ 1 (pow (- (* x (log y)) y) 2)))) (/ 1 (- (* x (log y)) y))) (taylor 0 z) (#s(alt (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ())) ())
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#s(alt (log y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ z x))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log y) 4)))) (/ 1 (* (pow x 3) (pow (log y) 3))))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
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#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
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#s(alt (+ (log y) (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (pow z 3) (* x (pow (log y) 2)))) (/ (pow z 2) (log y))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (log y))) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
331.0ms
x
@inf
((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z)))
35.0ms
y
@-inf
((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z)))
13.0ms
y
@inf
((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z)))
13.0ms
x
@0
((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z)))
10.0ms
y
@0
((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z)))

simplify237.0ms (2.6%)

Memory
0.9MiB live, 199.7MiB allocated
Algorithm
egg-herbie
Rules
6 484×lower-fma.f64
6 484×lower-fma.f32
4 404×lower-*.f64
4 404×lower-*.f32
2 432×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05886229
118675869
260465743
082295588
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* -1 y)
(- (* -1 z) y)
(- (* -1 z) y)
(- (* -1 z) y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(/ 1 (- (* x (log y)) y))
(+ (/ 1 (- (* x (log y)) y)) (/ z (pow (- (* x (log y)) y) 2)))
(+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 2)) (/ z (pow (- (* x (log y)) y) 3)))) (/ 1 (- (* x (log y)) y)))
(+ (* z (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 3)) (/ z (pow (- (* x (log y)) y) 4)))) (/ 1 (pow (- (* x (log y)) y) 2)))) (/ 1 (- (* x (log y)) y)))
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(log y)
(+ (log y) (* -1 (/ z x)))
(+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x))))
(+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x))))
(/ z (* x (log y)))
(* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y)))))
(* z (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log y) 4)))) (/ 1 (* (pow x 3) (pow (log y) 3))))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (* -1 (/ y z)) 1))
(* z (- (* -1 (/ y z)) 1))
(* z (- (* -1 (/ y z)) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(/ -1 z)
(/ (- (/ y z) (+ 1 (/ (* x (log y)) z))) z)
(/ (- (+ (/ y z) (/ (* (- y (* x (log y))) (- (* x (log y)) y)) (pow z 2))) (+ 1 (/ (* x (log y)) z))) z)
(/ (- (+ (/ y z) (/ (* (- y (* x (log y))) (pow (- (* x (log y)) y) 2)) (pow z 3))) (+ 1 (+ (* -1 (/ (* (- y (* x (log y))) (- (* x (log y)) y)) (pow z 2))) (/ (* x (log y)) z)))) z)
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z))))
(/ (* x (pow (log y) 2)) z)
(/ (+ (* -1 (/ (* (pow x 2) (pow (log y) 3)) z)) (* x (pow (log y) 2))) z)
(/ (- (+ (* x (pow (log y) 2)) (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z)) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (log y) 5)) (pow z 3))) (* x (pow (log y) 2))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z))) z)
1
(+ 1 (* -1 (/ (* x (log y)) z)))
(- (+ 1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z))
(- (+ 1 (* -1 (/ (* (pow x 3) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z)))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (/ y z))))
(* -1 (* z (+ 1 (/ y z))))
(* -1 (* z (+ 1 (/ y z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(/ -1 z)
(* -1 (/ (+ 1 (* -1 (/ (- y (* x (log y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- y (* x (log y))) (- (* x (log y)) y)) z)) (* x (log y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (- y (* x (log y))) (pow (- (* x (log y)) y) 2)) z)) (* (- y (* x (log y))) (- (* x (log y)) y))) z))) (* x (log y))) z))) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z)))))
(/ (* x (pow (log y) 2)) z)
(* -1 (/ (+ (* -1 (* x (pow (log y) 2))) (/ (* (pow x 2) (pow (log y) 3)) z)) z))
(* -1 (/ (+ (* -1 (* x (pow (log y) 2))) (* -1 (/ (- (/ (* (pow x 3) (pow (log y) 4)) z) (* (pow x 2) (pow (log y) 3))) z))) z))
(* -1 (/ (+ (* -1 (* x (pow (log y) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (log y) 5)) z) (* (pow x 3) (pow (log y) 4))) z)) (* (pow x 2) (pow (log y) 3))) z))) z))
1
(+ 1 (* -1 (/ (* x (log y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (log y) 2)) z)) (* -1 (* x (log y)))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (log y) 3)) z)) (* -1 (* (pow x 2) (pow (log y) 2)))) z)) (* -1 (* x (log y)))) z)))
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(log y)
(log y)
(log y)
(log y)
(* -1 z)
(- (* -1 y) z)
(- (* -1 y) z)
(- (* -1 y) z)
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(/ 1 (- (* x (log y)) z))
(+ (/ 1 (- (* x (log y)) z)) (/ y (pow (- (* x (log y)) z) 2)))
(+ (* y (+ (/ 1 (pow (- (* x (log y)) z) 2)) (/ y (pow (- (* x (log y)) z) 3)))) (/ 1 (- (* x (log y)) z)))
(+ (* y (+ (* y (+ (/ 1 (pow (- (* x (log y)) z) 3)) (/ y (pow (- (* x (log y)) z) 4)))) (/ 1 (pow (- (* x (log y)) z) 2)))) (/ 1 (- (* x (log y)) z)))
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y)))))
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y)))))
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y)))))
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y)))))
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y)))))
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y)))))
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y)))))
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y)))))
(/ (* x (pow (log y) 2)) (+ z (* x (log y))))
(/ (* x (pow (log y) 2)) (+ z (* x (log y))))
(/ (* x (pow (log y) 2)) (+ z (* x (log y))))
(/ (* x (pow (log y) 2)) (+ z (* x (log y))))
(* x (pow (log y) 2))
(* x (pow (log y) 2))
(* x (pow (log y) 2))
(* x (pow (log y) 2))
(pow (log y) 2)
(pow (log y) 2)
(pow (log y) 2)
(pow (log y) 2)
(/ z (+ z (* x (log y))))
(/ z (+ z (* x (log y))))
(/ z (+ z (* x (log y))))
(/ z (+ z (* x (log y))))
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 y)
(* y (- (* -1 (/ z y)) 1))
(* y (- (* -1 (/ z y)) 1))
(* y (- (* -1 (/ z y)) 1))
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(- (* -1 (* x (log (/ 1 y)))) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(- (* -1 (* x (log (/ 1 y)))) z)
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 (* x (log (/ 1 y))))
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
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(/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 z x) (/.f64 (neg.f64 z) (log.f64 y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 z (log.f64 y)) #s(literal 3 binary64)) x)) x) (/.f64 z (log.f64 y))) x)
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z (log.f64 y)) #s(literal 3 binary64))) (neg.f64 x))) x) (/.f64 z (log.f64 y))) x)

rewrite353.0ms (3.9%)

Memory
-12.0MiB live, 348.0MiB allocated
Rules
6 246×lower-fma.f32
6 240×lower-fma.f64
4 726×lower-/.f32
4 720×lower-/.f64
4 662×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031163
051123
1219123
21542123
08865123
Stop Event
iter limit
node limit
iter limit
Counts
18 → 2 144
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
(log.f64 y)
(-.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(*.f64 (log.f64 y) x)
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))))
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(/.f64 z (fma.f64 (log.f64 y) x z))
Outputs
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eval944.0ms (10.5%)

Memory
-82.6MiB live, 913.8MiB allocated
Compiler

Compiled 127 368 to 5 365 computations (95.8% saved)

prune120.0ms (1.3%)

Memory
11.3MiB live, 326.5MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New3 126223 148
Fresh8311
Picked415
Done000
Total3 138263 164
Accuracy
100.0%
Counts
3 164 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
70.7%
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
37.6%
(pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
37.5%
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64))
43.8%
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) x)) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
17.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
33.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x)))
33.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))))
30.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
98.4%
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
99.8%
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
70.7%
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
68.0%
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
79.2%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z))
33.7%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
30.2%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
61.2%
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
61.3%
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
61.3%
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
28.6%
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (log.f64 y) z)))
28.6%
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
18.8%
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
18.0%
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
39.3%
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
51.3%
#s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)))
Compiler

Compiled 737 to 537 computations (27.1% saved)

simplify107.0ms (1.2%)

Memory
27.5MiB live, 139.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x)
cost-diff0
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
cost-diff128
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))
cost-diff256
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z))
cost-diff0
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)
cost-diff0
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)
cost-diff0
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
cost-diff7104
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) x)
cost-diff0
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x))
cost-diff0
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) x)
cost-diff0
(-.f64 (*.f64 (log.f64 y) x) y)
cost-diff0
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
Rules
2 912×lower-fma.f32
2 910×lower-fma.f64
1 974×lower-*.f32
1 966×lower-*.f64
1 306×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038231
059222
1113212
2257209
3842207
42869207
54954207
65793207
76411207
87993207
08184207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
(-.f64 (*.f64 (log.f64 y) x) y)
(*.f64 (log.f64 y) x)
(log.f64 y)
y
x
z
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(neg.f64 z)
z
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(log.f64 y)
y
x
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (log.f64 y))
(log.f64 y)
y
#s(literal 2 binary64)
x
z
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x)
(*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(neg.f64 (fma.f64 x (log.f64 y) z))
(fma.f64 x (log.f64 y) z)
Outputs
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
(-.f64 (*.f64 (log.f64 y) x) y)
(-.f64 (*.f64 x (log.f64 y)) y)
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(log.f64 y)
y
x
z
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(neg.f64 z)
z
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 x (log.f64 y))) y)
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x))
#s(approx (- (* x (log y)) z) (*.f64 x (log.f64 y)))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(log.f64 y)
y
x
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (fma.f64 x (log.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)
(fma.f64 x (log.f64 y) (neg.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)
(*.f64 x (log.f64 y))
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64))
(log.f64 y)
(sqrt.f64 (log.f64 y))
(log.f64 y)
y
#s(literal 2 binary64)
x
z
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (fma.f64 x (log.f64 y) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (fma.f64 x (log.f64 y) z))
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z))
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 x (log.f64 y) z))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x)
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 x)
x
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(neg.f64 (fma.f64 x (log.f64 y) z))
(fma.f64 x (log.f64 y) z)

localize139.0ms (1.5%)

Memory
-64.5MiB live, 169.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(pow.f64 (log.f64 y) #s(literal 2 binary64))
accuracy1.7460875574906176
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z))
accuracy13.874882220986335
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))
accuracy19.45532801337459
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
accuracy0.05078125
(sqrt.f64 (log.f64 y))
accuracy0.1484375
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)
accuracy0.24609375
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64))
accuracy19.45532801337459
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
accuracy0
(log.f64 y)
accuracy0.00390625
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
accuracy0.1484375
(*.f64 (log.f64 y) x)
accuracy15.021879310400783
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x))
accuracy0
(neg.f64 z)
accuracy24.48364418650452
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
accuracy0
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
accuracy0
(log.f64 y)
accuracy0.00390625
(-.f64 (*.f64 (log.f64 y) x) y)
accuracy0.1484375
(*.f64 (log.f64 y) x)
Samples
62.0ms132×0invalid
41.0ms124×0valid
Compiler

Compiled 191 to 33 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 39.0ms (47.3% of total)
ival-sub: 21.0ms (25.5% of total)
ival-log: 4.0ms (4.9% of total)
ival-pow2: 4.0ms (4.9% of total)
ival-pow: 4.0ms (4.9% of total)
ival-div: 3.0ms (3.6% of total)
ival-neg: 3.0ms (3.6% of total)
ival-sqrt: 2.0ms (2.4% of total)
ival-add: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series102.0ms (1.1%)

Memory
32.6MiB live, 226.9MiB allocated
Counts
18 → 480
Calls
Call 1
Inputs
#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (log.f64 y) x) y) (patch (-.f64 (*.f64 (log.f64 y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) (patch (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (patch (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (log.f64 y)) (patch (sqrt.f64 (log.f64 y)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) (patch (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (patch (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (patch (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (patch (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (patch (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
17.0ms
y
@0
((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2))
15.0ms
y
@-inf
((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2))
13.0ms
x
@0
((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2))
9.0ms
y
@inf
((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2))
9.0ms
x
@-inf
((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2))

simplify352.0ms (3.9%)

Memory
-7.7MiB live, 221.2MiB allocated
Algorithm
egg-herbie
Rules
7 370×lower-fma.f64
7 370×lower-fma.f32
4 408×lower-*.f64
4 408×lower-*.f32
1 696×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01273804
14093634
212093596
346043524
083033494
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(* -1 (* (pow x 2) (pow (log y) 2)))
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2))
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2))
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2))
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* z (- (/ (* x (log y)) z) 1))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(* x (log y))
(+ (* -1 y) (* x (log y)))
(+ (* -1 y) (* x (log y)))
(+ (* -1 y) (* x (log y)))
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(log y)
(log y)
(log y)
(log y)
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(log y)
(log y)
(log y)
(log y)
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(- (* x (log y)) z)
(* x (log y))
(* x (log y))
(* x (log y))
(* x (log y))
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2)))
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2)))
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2)))
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2)))
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y)))))
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y)))))
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y)))))
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y)))))
(- (* x (log y)) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(- (+ (* -1 y) (* x (log y))) z)
(* -1 (* (pow x 2) (pow (log y) 2)))
(* -1 (* (pow x 2) (pow (log y) 2)))
(* -1 (* (pow x 2) (pow (log y) 2)))
(* -1 (* (pow x 2) (pow (log y) 2)))
(sqrt (log y))
(sqrt (log y))
(sqrt (log y))
(sqrt (log y))
(pow (log y) 2)
(pow (log y) 2)
(pow (log y) 2)
(pow (log y) 2)
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))))
(* -1 y)
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1))
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Outputs
(- (* x (log y)) y)
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(- (+ (* -1 z) (* x (log y))) y)
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(- (+ (* -1 z) (* x (log y))) y)
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(- (+ (* -1 z) (* x (log y))) y)
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rewrite320.0ms (3.5%)

Memory
-10.7MiB live, 321.2MiB allocated
Rules
5 934×lower-fma.f32
5 932×lower-fma.f64
4 424×lower-/.f32
4 422×lower-/.f64
4 016×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038181
059144
1254130
21653130
08355129
Stop Event
iter limit
node limit
iter limit
Counts
18 → 780
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
(-.f64 (*.f64 (log.f64 y) x) y)
(*.f64 (log.f64 y) x)
(log.f64 y)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(neg.f64 z)
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x))
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x)
(sqrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) #s(literal 2 binary64))
Outputs
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eval218.0ms (2.4%)

Memory
18.8MiB live, 416.2MiB allocated
Compiler

Compiled 33 175 to 2 496 computations (92.5% saved)

prune69.0ms (0.8%)

Memory
-13.5MiB live, 182.4MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New1 41881 426
Fresh51520
Picked145
Done011
Total1 424281 452
Accuracy
100.0%
Counts
1 452 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
70.7%
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
37.5%
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64))
55.2%
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
17.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
33.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x)))
33.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))))
30.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
98.4%
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
99.8%
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
91.2%
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
68.0%
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
38.7%
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))) y)
70.7%
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
13.5%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
13.5%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
79.2%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z))
33.7%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
30.2%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
61.3%
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
61.3%
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
28.6%
#s(approx (- (- (* x (log y)) z) y) (/.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x) (*.f64 z z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
18.8%
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
18.0%
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(approx (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (neg.f64 (fma.f64 x (log.f64 y) z))))
18.0%
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
39.3%
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
51.3%
#s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)))
Compiler

Compiled 651 to 528 computations (18.9% saved)

simplify240.0ms (2.7%)

Memory
21.4MiB live, 165.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))
cost-diff320
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
cost-diff448
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
cost-diff8000
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
cost-diff0
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64))
cost-diff0
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y))
cost-diff0
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
cost-diff896
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)
cost-diff0
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
cost-diff192
(+.f64 #s(literal 0 binary64) z)
cost-diff448
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (* (log y) x) y) (neg.f64 y))
cost-diff0
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
cost-diff0
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
cost-diff0
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
cost-diff0
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))))
cost-diff128
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
Rules
4 544×lower-fma.f32
4 536×lower-fma.f64
2 958×lower-*.f32
2 944×lower-*.f64
1 362×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047356
078339
1149327
2370306
3935302
42238290
54762287
67951287
08086284
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))))
x
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(fma.f64 (log.f64 y) x z)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (- (* (log y) x) y) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))
(+.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
z
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64))
(/.f64 x y)
x
y
(log.f64 y)
#s(literal -1 binary64)
z
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))
#s(literal 1 binary64)
(-.f64 (*.f64 x (log.f64 y)) y)
(*.f64 x (log.f64 y))
x
(log.f64 y)
y
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))
Outputs
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
(fma.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) x z)) (*.f64 x x) (neg.f64 (fma.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) z y)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 (log.f64 y) x z)) x) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))
x
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
(*.f64 (/.f64 x (fma.f64 (log.f64 y) x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(fma.f64 (log.f64 y) x z)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) z)
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (- (* (log y) x) y) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))
(neg.f64 z)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))
(/.f64 #s(literal -1 binary64) z)
(+.f64 #s(literal 0 binary64) z)
z
#s(literal 0 binary64)
z
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
(-.f64 #s(approx (- (* (log y) x) y) (fma.f64 (log.f64 y) x (neg.f64 y))) z)
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y))
#s(approx (- (* (log y) x) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)
(fma.f64 (log.f64 y) x (neg.f64 y))
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64))
(/.f64 x y)
x
y
(log.f64 y)
#s(literal -1 binary64)
z
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (log.f64 y) y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) z)
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(fma.f64 (/.f64 z (fma.f64 (neg.f64 x) (log.f64 y) y)) z z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) x (neg.f64 y)))
#s(literal 1 binary64)
(-.f64 (*.f64 x (log.f64 y)) y)
(fma.f64 (log.f64 y) x (neg.f64 y))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
x
(log.f64 y)
y
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
z
(+.f64 #s(literal 0 binary64) z)
z
#s(literal 0 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))
(/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y)))

localize278.0ms (3.1%)

Memory
-31.7MiB live, 349.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28086960078147516
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))
accuracy0.296875
(*.f64 x (log.f64 y))
accuracy6.91880032055842
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
accuracy21.600813868754432
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
accuracy0
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y))
accuracy0.00390625
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
accuracy0.11328125
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64))
accuracy5.6715966527579
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)
accuracy0
(neg.f64 z)
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))
accuracy32.752505667635546
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))
accuracy44.65031185310565
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
accuracy0
(neg.f64 y)
accuracy0.00390625
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
accuracy28.301963996495815
#s(approx (- (* (log y) x) y) (neg.f64 y))
accuracy0.21875
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
accuracy0.529628759768442
(pow.f64 (log.f64 y) #s(literal 2 binary64))
accuracy0.5296426209984045
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
accuracy33.87087214717774
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))
Samples
234.0ms256×0valid
Compiler

Compiled 326 to 45 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-sub: 92.0ms (54.9% of total)
ival-mult: 36.0ms (21.5% of total)
ival-div: 12.0ms (7.2% of total)
ival-log: 10.0ms (6% of total)
ival-add: 5.0ms (3% of total)
ival-neg: 4.0ms (2.4% of total)
ival-pow: 4.0ms (2.4% of total)
ival-pow2: 3.0ms (1.8% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series134.0ms (1.5%)

Memory
16.8MiB live, 295.6MiB allocated
Counts
24 → 612
Calls
Call 1
Inputs
#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (log y) x) y) (neg.f64 y)) (patch #s(approx (- (* (log y) x) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) (patch (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) (patch #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) #<representation binary64>) () ())
Outputs
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ z x))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) (patch (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) (patch (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) (patch (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) (patch (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* y z) (log y))) (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) z) (pow (log y) 2))) (/ (* (pow y 2) z) (pow (log y) 2))) x)) (/ (* y z) (log y)))) x)))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (/ (pow z 2) (* x (log y))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (/ (+ (/ (* y (pow z 2)) (* x (pow (log y) 2))) (/ (pow z 2) (log y))) x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* y (pow z 2)) (pow (log y) 2))) (* -1 (/ (* (pow y 2) (pow z 2)) (* x (pow (log y) 3))))) x)) (/ (pow z 2) (log y))) x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (log y))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (* y z) (* x (pow (log y) 2))))) x)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (* (pow y 2) z) (* x (pow (log y) 3))) (* -1 (/ (* y z) (pow (log y) 2)))) x))) x)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) z) (* x (pow (log y) 4)))) (/ (* (pow y 2) z) (pow (log y) 3))) x)) (* -1 (/ (* y z) (pow (log y) 2)))) x))) x)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ z (* x (log y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (log y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ y (* x (pow (log y) 2)))) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (log y) 3))) (* -1 (/ y (pow (log y) 2)))) x)) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (pow (log y) 4)))) (/ (pow y 2) (pow (log y) 3))) x)) (* -1 (/ y (pow (log y) 2)))) x)) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
y
@inf
((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y)))
14.0ms
x
@0
((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y)))
14.0ms
z
@inf
((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y)))
13.0ms
z
@-inf
((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y)))
13.0ms
y
@-inf
((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y)))

simplify214.0ms (2.4%)

Memory
-6.0MiB live, 216.4MiB allocated
Algorithm
egg-herbie
Rules
10 392×lower-fma.f64
10 392×lower-fma.f32
5 566×lower-*.f64
5 566×lower-*.f32
4 484×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09108091
130577368
083497159
Stop Event
iter limit
node limit
Counts
612 → 583
Calls
Call 1
Inputs
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* x (log y))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(+ (* -1 z) (* x (log y)))
(log y)
(+ (log y) (* -1 (/ z x)))
(+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x))))
(+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x))))
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
z
z
z
z
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (* x (log y)) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
(- (+ (* -1 z) (* x (log y))) y)
z
(* z (+ 1 (* -1 (/ z (- (* x (log y)) y)))))
(* z (+ 1 (* -1 (/ z (- (* x (log y)) y)))))
(* z (+ 1 (* -1 (/ z (- (* x (log y)) y)))))
z
z
z
z
(/ z (- (* x (log y)) y))
(/ z (- (* x (log y)) y))
(/ z (- (* x (log y)) y))
(/ z (- (* x (log y)) y))
(/ z (* x (log y)))
(* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y)))))
(* z (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log y) 4)))) (/ 1 (* (pow x 3) (pow (log y) 3))))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) 1))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1))
(/ (* x (pow (log y) 2)) z)
(/ (+ (* -1 (/ (* (pow x 2) (pow (log y) 3)) z)) (* x (pow (log y) 2))) z)
(/ (- (+ (* x (pow (log y) 2)) (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z)) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (log y) 5)) (pow z 3))) (* x (pow (log y) 2))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z))) z)
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
z
z
z
z
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 z)
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z))))
(* -1 (/ (pow z 2) (- (* x (log y)) y)))
(* (pow z 2) (- (/ 1 z) (/ 1 (- (* x (log y)) y))))
(* (pow z 2) (- (/ 1 z) (/ 1 (- (* x (log y)) y))))
(* (pow z 2) (- (/ 1 z) (/ 1 (- (* x (log y)) y))))
z
z
z
z
(/ z (- (* x (log y)) y))
(/ z (- (* x (log y)) y))
(/ z (- (* x (log y)) y))
(/ z (- (* x (log y)) y))
1
(+ 1 (* -1 (/ (* x (log y)) z)))
(- (+ 1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z))
(- (+ 1 (* -1 (/ (* (pow x 3) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z)))))
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Outputs
(- (* x (log y)) y)
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(- (+ (* -1 z) (* x (log y))) y)
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(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 y y) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) (neg.f64 x))

rewrite295.0ms (3.3%)

Memory
-7.5MiB live, 280.2MiB allocated
Rules
5 428×lower-fma.f32
5 420×lower-fma.f64
5 162×lower-*.f32
5 148×lower-*.f64
4 232×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047281
078255
1348228
22705228
09164225
Stop Event
iter limit
node limit
iter limit
Counts
24 → 876
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z))
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (- (* (log y) x) y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))
(+.f64 #s(literal 0 binary64) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y))
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(neg.f64 z)
(*.f64 x (log.f64 y))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))
Outputs
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eval285.0ms (3.2%)

Memory
49.1MiB live, 587.7MiB allocated
Compiler

Compiled 48 524 to 4 264 computations (91.2% saved)

prune64.0ms (0.7%)

Memory
2.8MiB live, 197.6MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New1 655181 673
Fresh81018
Picked325
Done055
Total1 666351 701
Accuracy
100.0%
Counts
1 701 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
98.3%
(fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y)))
98.4%
(fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) x) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y)))
61.8%
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
70.7%
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
37.5%
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64))
66.1%
(/.f64 (fma.f64 (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))) (neg.f64 z) z) (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))))
44.8%
(/.f64 #s(approx (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (+.f64 (/.f64 (*.f64 z z) y) z)) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
33.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x)))
33.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))))
30.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
99.8%
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
91.2%
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
90.8%
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) y)) z)
90.7%
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64)) y)) z)
68.0%
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
38.7%
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))) y)
70.7%
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
34.5%
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (/.f64 (*.f64 (*.f64 (-.f64 z (*.f64 (/.f64 z (log.f64 y)) (/.f64 z x))) (log.f64 y)) x) z))
79.2%
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z))
45.6%
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
33.7%
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
13.5%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
13.5%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
6.8%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
11.0%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
11.0%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
7.0%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
13.5%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
30.2%
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
18.8%
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
18.0%
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
39.3%
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
51.3%
#s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)))
Compiler

Compiled 1 373 to 592 computations (56.9% saved)

regimes91.0ms (1%)

Memory
-1.3MiB live, 146.8MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
#s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)))
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) y)) z)
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))))
(/.f64 #s(approx (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (+.f64 (/.f64 (*.f64 z z) y) z)) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z))
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64)) y)) z)
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))) y)
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (/.f64 (*.f64 (*.f64 (-.f64 z (*.f64 (/.f64 z (log.f64 y)) (/.f64 z x))) (log.f64 y)) x) z))
(/.f64 (fma.f64 (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))) (neg.f64 z) z) (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))))
(pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (log.f64 y) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(approx (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (neg.f64 (fma.f64 x (log.f64 y) z))))
(-.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) y)
#s(approx (- (- (* x (log y)) z) y) (/.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x) (*.f64 z z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y)
(fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x)))
(fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (neg.f64 y))
(fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) x) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y)))
(fma.f64 (fma.f64 (log.f64 y) x z) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
(-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y)
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) x)) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
Outputs
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
Calls

4 calls:

26.0ms
y
21.0ms
z
20.0ms
x
20.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes44.0ms (0.5%)

Memory
19.5MiB live, 89.9MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
Outputs
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
Calls

4 calls:

13.0ms
x
11.0ms
z
9.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
9.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes50.0ms (0.6%)

Memory
-46.2MiB live, 106.4MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Outputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Calls

4 calls:

21.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
9.0ms
y
9.0ms
x
9.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes37.0ms (0.4%)

Memory
-3.5MiB live, 76.6MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y)
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y)))
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z)))
Outputs
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y)))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
Calls

4 calls:

10.0ms
x
9.0ms
z
8.0ms
y
8.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Results
AccuracySegmentsBranch
88.8%3x
86.9%3y
90.6%3z
88.8%2(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes24.0ms (0.3%)

Memory
5.8MiB live, 44.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
Outputs
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))
Calls

3 calls:

8.0ms
x
7.0ms
z
7.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Results
AccuracySegmentsBranch
83.1%3x
86.5%2(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
73.9%3z
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes23.0ms (0.3%)

Memory
-1.0MiB live, 37.8MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x))
Outputs
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))
Calls

3 calls:

8.0ms
x
7.0ms
y
7.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Results
AccuracySegmentsBranch
80.4%3x
72.3%2y
73.7%3(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes26.0ms (0.3%)

Memory
9.1MiB live, 48.5MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z)
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z)))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z))))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z))))
Outputs
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
Calls

4 calls:

7.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
6.0ms
x
6.0ms
y
6.0ms
z
Results
AccuracySegmentsBranch
68.0%1(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
68.0%1y
68.0%1z
68.0%1x
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes8.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z))
Outputs
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z))
Calls

4 calls:

2.0ms
y
2.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
56.5%3z
42.9%3x
53.0%2y
57.6%2(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes8.0ms (0.1%)

Memory
-22.9MiB live, 18.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

4.0ms
z
1.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
39.3%1x
39.3%1y
39.3%1z
39.3%1(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

bsearch30.0ms (0.3%)

Memory
13.4MiB live, 51.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3400900766923012e-52
1.1487570465598713e-41
10.0ms
-2.19564381476417e+53
-1.0559392871756845e+51
Samples
17.0ms272×0valid
Compiler

Compiled 215 to 268 computations (-24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 5.0ms (46.1% of total)
ival-log: 4.0ms (36.9% of total)
ival-mult: 2.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.067853721529464e-134
-3.671072455039137e-146
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch19.0ms (0.2%)

Memory
-6.7MiB live, 31.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.9637398369282e+165
1.4654816078506949e+168
4.0ms
-2.2829565069607842e+69
-1.817713227685442e+69
Samples
12.0ms160×0valid
Compiler

Compiled 111 to 153 computations (-37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (41.2% of total)
ival-sub: 1.0ms (20.6% of total)
ival-mult: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.2947735229606033e-148
-1.1521904384186599e-153
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify25.0ms (0.3%)

Memory
14.9MiB live, 53.9MiB allocated
Algorithm
egg-herbie
Rules
20×+-commutative-binary64-+.f64
20×sub-neg-binary64-neg.f64-+.f64--.f64
*-commutative-binary64-*.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045206
159206
271206
378206
480206
581206
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 z #s(literal -61999999999999999579698817810420934540625923400531968 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 8238696027695019/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)))
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)))
(if (<=.f64 x #s(literal -2200000000000000159569160039364317277548423701222348302140062342053888 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 21000000000000000548917631404118452857619255066975660003097640525956068954800166513050748556080101381485100303528929984311244000597903106115484503777630988537870417920 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))
Outputs
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 z #s(literal -61999999999999999579698817810420934540625923400531968 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 8238696027695019/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)))
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)))
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 x (log.f64 y)) z)))
(if (<=.f64 x #s(literal -2200000000000000159569160039364317277548423701222348302140062342053888 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 21000000000000000548917631404118452857619255066975660003097640525956068954800166513050748556080101381485100303528929984311244000597903106115484503777630988537870417920 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x))))
(if (<=.f64 x #s(literal -2200000000000000159569160039364317277548423701222348302140062342053888 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 x (log.f64 y))) (if (<=.f64 x #s(literal 21000000000000000548917631404118452857619255066975660003097640525956068954800166513050748556080101381485100303528929984311244000597903106115484503777630988537870417920 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (*.f64 x (log.f64 y)))))
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y)
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)))
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y))

soundness799.0ms (8.9%)

Memory
-14.0MiB live, 355.1MiB allocated
Rules
9 182×lower-fma.f64
9 182×lower-fma.f32
4 830×lower-fma.f64
4 830×lower-fma.f32
4 164×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
14320
235620
3550620
0849320
075698
1239674
2657671
32043653
45222653
08082650
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 198 to 110 computations (44.4% saved)

preprocess211.0ms (2.3%)

Memory
-14.0MiB live, 103.0MiB allocated
Compiler

Compiled 256 to 92 computations (64.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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