Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

Time bar (total: 10.0s)

analyze138.0ms (1.4%)

Memory
-25.7MiB live, 217.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.1s (10.9%)

Memory
41.5MiB live, 2 260.0MiB allocated
Samples
772.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 513.0ms
ival-mult: 167.0ms (32.6% of total)
...in/eval/compile.rkt:105:19: 132.0ms (25.7% of total)
ival-exp: 69.0ms (13.5% of total)
ival-div: 56.0ms (10.9% of total)
ival-add: 41.0ms (8% of total)
ival-sub: 37.0ms (7.2% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

preprocess200.0ms (2%)

Memory
13.0MiB live, 125.8MiB allocated
Algorithm
egg-herbie
Rules
739×fma-define
734×fmm-def
137×distribute-lft-neg-in
122×cancel-sign-sub-inv
117×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
052578
1129538
2246538
3552526
41099510
52065506
63053506
73762506
83940506
94007506
104029506
114029506
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y))))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y)))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(neg.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y)))))
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(neg.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y)))))
(-.f64 (neg.f64 x) (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (+.f64 (*.f64 x y) (neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(-.f64 (/.f64 y (fma.f64 x y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 z y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 y z))))
(+.f64 z (/.f64 (neg.f64 y) (fma.f64 y z (*.f64 (exp.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 z (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 y)) (*.f64 x z))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))))

explain159.0ms (1.6%)

Memory
-14.0MiB live, 382.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-1(-2.6077056507175682e-291 -1.3554924553779592e-27 -7.228728439177472e+175)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
40-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-y
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))nan-rescue40
(exp.f64 z)overflow66
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))overflow66
(*.f64 x y)overflow36
/.f64(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))n/u40
(exp.f64 z)underflow64
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))underflow64
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))underflow4
(*.f64 x y)underflow26
Confusion
Predicted +Predicted -
+81
-0247
Precision
1.0
Recall
0.8888888888888888
Confusion?
Predicted +Predicted MaybePredicted -
+801
-00247
Precision?
1.0
Recall?
0.8888888888888888
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
...in/eval/compile.rkt:105:19: 17.0ms (44.1% of total)
ival-mult: 7.0ms (18.2% of total)
ival-div: 5.0ms (13% of total)
ival-exp: 4.0ms (10.4% of total)
ival-sub: 2.0ms (5.2% of total)
ival-add: 2.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Memory
4.1MiB live, 4.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
96.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify50.0ms (0.5%)

Memory
8.4MiB live, 47.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
cost-diff6272
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
cost-diff-6272
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
cost-diff0
(*.f64 x y)
cost-diff0
(exp.f64 z)
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Rules
243×fma-define
182×fmm-def
42×cancel-sign-sub-inv
38×associate-*l*
35×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023321
136321
259321
390313
4146313
5252313
6399313
7578313
8809313
91020313
101035313
111108313
121113313
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
y
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y))))
y
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
y
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 z)
z
#s(literal -5641895835477563/5000000000000000 binary64)

localize60.0ms (0.6%)

Memory
-15.0MiB live, 142.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
accuracy100.0%
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
accuracy100.0%
(exp.f64 z)
accuracy89.1%
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
accuracy100.0%
(exp.f64 z)
accuracy98.8%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
accuracy89.1%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Samples
36.0ms256×0valid
Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
...in/eval/compile.rkt:105:19: 7.0ms (29% of total)
ival-mult: 7.0ms (29% of total)
ival-div: 3.0ms (12.4% of total)
ival-sub: 2.0ms (8.3% of total)
ival-exp: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
11.8MiB live, 103.0MiB allocated
Counts
10 → 212
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))>
#<alt (exp.f64 z)>
#<alt (*.f64 x y)>
#<alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))>
#<alt (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))>
#<alt (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))>
#<alt (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))>
#<alt (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))>
Outputs
#<alt #s(literal 5641895835477563/5000000000000000 binary64)>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))>
#<alt (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))>
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Calls

69 calls:

TimeVariablePointExpression
6.0ms
z
@0
(+ (* x y) (* (exp z) -5641895835477563/5000000000000000))
2.0ms
x
@-inf
(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
1.0ms
z
@0
(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
1.0ms
z
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
x
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

rewrite331.0ms (3.3%)

Memory
6.6MiB live, 438.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 106×log1p-expm1-u
867×expm1-log1p-u
147×add-exp-log
147×add-log-exp
147×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023283
1318283
24831283
Stop Event
node limit
Counts
10 → 278
Calls
Call 1
Inputs
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(exp.f64 z)
(*.f64 x y)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 5641895835477563/5000000000000000 binary64)) (exp.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(exp.f64 (+.f64 z (log.f64 #s(literal -5641895835477563/5000000000000000 binary64))))
(exp.f64 (*.f64 (+.f64 z (log.f64 #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 z))) #s(literal 1 binary64))
(*.f64 (exp.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 z))
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(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 z)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(*.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))))
(*.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))
(pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(exp.f64 (log.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y)))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))

simplify1.1s (10.6%)

Memory
-13.5MiB live, 386.8MiB allocated
Algorithm
egg-herbie
Rules
598×fma-define
457×times-frac
391×associate-*r*
319×associate-*l*
279×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105227383
1284026477
Stop Event
node limit
Counts
490 → 658
Calls
Call 1
Inputs
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
x
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(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x (neg.f64 y)))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 x (neg.f64 y)))
Outputs
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z))))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(fma.f64 x (fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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eval100.0ms (1%)

Memory
3.0MiB live, 190.4MiB allocated
Compiler

Compiled 16 274 to 2 722 computations (83.3% saved)

prune97.0ms (1%)

Memory
-3.2MiB live, 195.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6836689
Fresh000
Picked202
Done000
Total6856691
Accuracy
100.0%
Counts
691 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.9%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
68.2%
(-.f64 x (/.f64 y (*.f64 y x)))
69.9%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
96.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))
13.2%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
71.5%
x
Compiler

Compiled 120 to 84 computations (30% saved)

simplify117.0ms (1.2%)

Memory
-7.9MiB live, 53.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff-6272
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
cost-diff-6272
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 y x)
cost-diff128
(/.f64 y (*.f64 y x))
cost-diff128
(-.f64 x (/.f64 y (*.f64 y x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff0
(exp.f64 z)
cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
cost-diff128
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))
Rules
913×fmm-def
721×div-sub
440×distribute-lft-neg-in
403×associate-/r/
347×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027407
160397
2108380
3192380
4517380
51680379
63328379
75515379
87630379
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 y x)
y
x
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x (/.f64 y (*.f64 y x)))
x
(/.f64 y (*.f64 y x))
y
(*.f64 y x)
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 x y)
#s(literal 5641895835477563/5000000000000000 binary64)
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) y x)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 y x)
(*.f64 x y)
y
x
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x (/.f64 y (*.f64 y x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 y (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
y
(*.f64 y x)
(*.f64 x y)
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 x y)
#s(literal 5641895835477563/5000000000000000 binary64)

localize70.0ms (0.7%)

Memory
24.7MiB live, 139.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
accuracy86.7%
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
accuracy100.0%
(-.f64 x (/.f64 y (*.f64 y x)))
accuracy100.0%
(*.f64 y x)
accuracy77.1%
(/.f64 y (*.f64 y x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(exp.f64 z)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))
accuracy98.8%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
accuracy89.2%
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)
Samples
46.0ms256×0valid
Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 8.0ms (28.6% of total)
ival-mult: 7.0ms (25% of total)
ival-sub: 5.0ms (17.9% of total)
...in/eval/compile.rkt:105:19: 4.0ms (14.3% of total)
ival-exp: 2.0ms (7.2% of total)
ival-add: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-3.8MiB live, 77.3MiB allocated
Counts
11 → 258
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 x (/.f64 y (*.f64 y x)))>
#<alt (/.f64 y (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))>
Outputs
#<alt (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 y z) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))>
#<alt (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))))))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))>
#<alt (+.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))))))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 x y) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z)))))>
#<alt (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z)))))>
#<alt (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z)))))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (pow.f64 x #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) y)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (pow.f64 x #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (-.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))))>
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Calls

69 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* y x)) y))
4.0ms
y
@0
(/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* y x)) y))
3.0ms
x
@-inf
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* y x)) y)
2.0ms
x
@-inf
(- x (/ y (- (* x y) 5641895835477563/5000000000000000)))
1.0ms
x
@-inf
(- x (/ 1 x))

rewrite220.0ms (2.2%)

Memory
3.1MiB live, 201.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
778×log1p-expm1-u
201×expm1-log1p-u
196×add-exp-log
196×add-log-exp
195×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026263
1455245
26861245
Stop Event
node limit
Counts
11 → 419
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 x (/.f64 y (*.f64 y x)))
(/.f64 y (*.f64 y x))
(*.f64 y x)
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)))
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(*.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 y x) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 y x) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 y x) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x) y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))) (-.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x))))
(pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x)))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 y (neg.f64 x)))

simplify261.0ms (2.6%)

Memory
-25.5MiB live, 445.3MiB allocated
Algorithm
egg-herbie
Rules
588×fma-define
398×associate-*r*
283×*-commutative
279×times-frac
255×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115525665
1308124622
Stop Event
node limit
Counts
677 → 651
Calls
Call 1
Inputs
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
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(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
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(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
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(/.f64 #s(literal -1 binary64) x)
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(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
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(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y))))) x)
(/.f64 (-.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) x)
(/.f64 #s(literal -1 binary64) x)
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(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x)))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 y (neg.f64 x)))
Outputs
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 y z) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))))))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(fma.f64 z (+.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 z (fma.f64 (neg.f64 z) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 3 binary64)))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))))))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64)))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(fma.f64 z (+.f64 (*.f64 z (-.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (fma.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 z (fma.f64 z (-.f64 (*.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/30000000000000000 binary64)))) (neg.f64 z)) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 x y) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z)))))
(*.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(*.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z)))))
(*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(*.f64 y (fma.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))) (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64)))))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 z)))))
(*.f64 y (fma.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (/.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(/.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) x)
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(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (+.f64 (*.f64 y x) (fma.f64 (neg.f64 x) y (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x)))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (fma.f64 y x (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (neg.f64 x)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (fma.f64 y (neg.f64 x) (fma.f64 (neg.f64 x) y (*.f64 y x))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (fma.f64 y x (*.f64 #s(literal 0 binary64) (*.f64 y x))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (neg.f64 x)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (fma.f64 y (neg.f64 x) (fma.f64 (neg.f64 x) y (*.f64 y x))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (fma.f64 y x (*.f64 #s(literal 0 binary64) (*.f64 y x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 y (neg.f64 x)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (sqrt.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (fma.f64 y (neg.f64 x) (fma.f64 (neg.f64 x) y (*.f64 y x))))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (fma.f64 y x (*.f64 #s(literal 0 binary64) (*.f64 y x))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (sqrt.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 y (neg.f64 x)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))

eval96.0ms (1%)

Memory
30.8MiB live, 221.7MiB allocated
Compiler

Compiled 13 867 to 3 052 computations (78% saved)

prune119.0ms (1.2%)

Memory
-0.0MiB live, 280.6MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New7333736
Fresh101
Picked325
Done000
Total7375742
Accuracy
100.0%
Counts
742 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
81.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
69.9%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
13.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
71.5%
x
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify31.0ms (0.3%)

Memory
-9.0MiB live, 29.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
cost-diff0
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
cost-diff0
(-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
cost-diff0
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
Rules
109×fmm-def
39×fma-define
31×sub-neg
26×distribute-lft-neg-in
24×cancel-sign-sub-inv
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
018151
131151
252151
382151
4135151
5243147
6389147
7497147
8531147
9535147
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
x
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
#s(literal 1 binary64)
(-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
#s(literal 5641895835477563/5000000000000000 binary64)
y
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
x
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)
Outputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))
x
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y)))
#s(literal 1 binary64)
(-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
#s(literal 5641895835477563/5000000000000000 binary64)
y
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)

localize52.0ms (0.5%)

Memory
12.3MiB live, 92.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
accuracy99.6%
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
accuracy99.7%
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
accuracy99.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
Samples
35.0ms256×0valid
Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
...in/eval/compile.rkt:105:19: 11.0ms (51% of total)
ival-div: 5.0ms (23.2% of total)
ival-sub: 3.0ms (13.9% of total)
ival-mult: 2.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
7 → 120
Calls
Call 1
Inputs
#<alt (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))>
#<alt (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))>
#<alt (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)>
#<alt (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))>
#<alt (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))>
Outputs
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x))))))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
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Calls

33 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- x (/ 1 (- x (/ 5641895835477563/5000000000000000 y))))
0.0ms
y
@-inf
(- x (/ 1 (- x (/ 5641895835477563/5000000000000000 y))))
0.0ms
x
@0
(- x (/ 5641895835477563/5000000000000000 y))
0.0ms
x
@-inf
(- x (/ 1 (- x (/ 5641895835477563/5000000000000000 y))))
0.0ms
y
@-inf
(* y 5000000000000000/5641895835477563)

rewrite151.0ms (1.5%)

Memory
-28.3MiB live, 93.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 145×log1p-expm1-u
1 145×expm1-log1p-u
193×fmm-def
110×add-cube-cbrt
109×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018127
1243127
23809127
Stop Event
node limit
Counts
7 → 247
Calls
Call 1
Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 1 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(/.f64 (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 (neg.f64 y) #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal -5641895835477563/5000000000000000 binary64))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 5000000000000000/5641895835477563 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 5000000000000000/5641895835477563 binary64)) y)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64)))
(+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 1 binary64)))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) x)
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(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(sqrt.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(cbrt.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -5000000000000000/5641895835477563 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -5000000000000000/5641895835477563 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (neg.f64 y) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 (neg.f64 y) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 5000000000000000/5641895835477563 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 5000000000000000/5641895835477563 binary64)) y)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (sqrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (*.f64 (*.f64 x y) #s(literal -5000000000000000/5641895835477563 binary64)))))
(pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))

simplify521.0ms (5.2%)

Memory
12.2MiB live, 205.6MiB allocated
Algorithm
egg-herbie
Rules
679×fmm-def
448×distribute-lft-neg-in
409×fma-define
266×associate-*r*
239×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066010196
115829899
254739874
Stop Event
node limit
Counts
367 → 400
Calls
Call 1
Inputs
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (pow.f64 x #s(literal 2 binary64))))))
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(pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(exp.f64 (log.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(sqrt.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(cbrt.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -5000000000000000/5641895835477563 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -5000000000000000/5641895835477563 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 (neg.f64 y) #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 (neg.f64 y) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 5000000000000000/5641895835477563 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 5000000000000000/5641895835477563 binary64)) y)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64)))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(*.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (sqrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (*.f64 (*.f64 x y) #s(literal -5000000000000000/5641895835477563 binary64)))))
(pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
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(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (neg.f64 y)))
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eval58.0ms (0.6%)

Memory
-12.8MiB live, 109.2MiB allocated
Compiler

Compiled 6 307 to 1 381 computations (78.1% saved)

prune58.0ms (0.6%)

Memory
4.2MiB live, 120.8MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3973400
Fresh000
Picked033
Done022
Total3978405
Accuracy
100.0%
Counts
405 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
3.2%
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
57.0%
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
81.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
69.9%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
13.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
3.2%
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
71.5%
x
Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify11.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
cost-diff0
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
cost-diff0
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
cost-diff64
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
Rules
fma-define
sub-neg
+-commutative
*-commutative
distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01355
12355
23155
33755
44955
55955
66755
77555
87755
97955
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
#s(literal 5641895835477563/5000000000000000 binary64)
Outputs
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
y
#s(literal -5641895835477563/5000000000000000 binary64)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
#s(literal 5641895835477563/5000000000000000 binary64)

localize45.0ms (0.4%)

Memory
-10.8MiB live, 67.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
accuracy99.6%
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
accuracy100.0%
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
accuracy99.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
Samples
35.0ms256×0valid
Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
...in/eval/compile.rkt:105:19: 15.0ms (67.6% of total)
ival-div: 4.0ms (18% of total)
ival-mult: 2.0ms (9% of total)
ival-neg: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.9MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))>
#<alt (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))>
Outputs
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
#<alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(neg (* y 5000000000000000/5641895835477563))
0.0ms
y
@0
(neg (* y 5000000000000000/5641895835477563))
0.0ms
y
@0
(/ y 5641895835477563/5000000000000000)
0.0ms
y
@-inf
(neg (* y 5000000000000000/5641895835477563))
0.0ms
y
@-inf
(/ y 5641895835477563/5000000000000000)

rewrite65.0ms (0.7%)

Memory
-3.7MiB live, 34.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
291×unpow-prod-down
249×log1p-expm1-u
249×expm1-log1p-u
240×add-exp-log
235×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01120
110220
29912
Stop Event
node limit
Counts
2 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify8.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010242
112242
Stop Event
saturated
Counts
26 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Compiler

Compiled 381 to 137 computations (64% saved)

prune16.0ms (0.2%)

Memory
-6.2MiB live, 32.2MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New55257
Fresh000
Picked123
Done055
Total56965
Accuracy
100.0%
Counts
65 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
3.2%
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
57.0%
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
81.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
69.9%
(-.f64 x (/.f64 #s(literal 1 binary64) x))
13.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
3.2%
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
71.5%
x
2.9%
#s(literal 0 binary64)
Compiler

Compiled 159 to 91 computations (42.8% saved)

regimes165.0ms (1.6%)

Memory
-3.0MiB live, 42.6MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
Calls

6 calls:

138.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
5.0ms
x
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
99.9%2z
98.3%1(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes108.0ms (1.1%)

Memory
8.0MiB live, 46.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
Calls

6 calls:

83.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
5.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
96.7%1x
96.7%1y
99.2%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
100.0%3z
100.0%3(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
100.0%3(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes9.0ms (0.1%)

Memory
-28.2MiB live, 10.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
99.1%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(literal 5641895835477563/5000000000000000 binary64))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
x
Calls

2 calls:

4.0ms
z
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
100.0%3z
100.0%3(exp.f64 z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes13.0ms (0.1%)

Memory
-13.6MiB live, 25.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (*.f64 y x)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
x
Calls

3 calls:

5.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
82.2%5x
80.3%3y
90.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
87.1%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
x
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
x
Calls

3 calls:

3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
75.3%3x
71.5%1y
71.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
-34.9MiB live, 5.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
Outputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
x
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
75.3%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)
Outputs
x
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
71.5%1y
71.5%1z
71.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.9%1x
2.9%1y
2.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.3%)

Memory
-8.2MiB live, 30.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.0
0.999999999999513
Samples
16.0ms224×0valid
Compiler

Compiled 340 to 240 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.3% of total)
...in/eval/compile.rkt:105:19: 3.0ms (28.8% of total)
ival-div: 2.0ms (19.2% of total)
ival-sub: 1.0ms (9.6% of total)
ival-add: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.032038881319316e+280
4.572445552173125e+281
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.032038881319316e+280
4.572445552173125e+281
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch28.0ms (0.3%)

Memory
-9.8MiB live, 28.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.0
1.000000005020212
22.0ms
0.0
0.999999999999513
Samples
15.0ms224×0valid
Compiler

Compiled 326 to 254 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
...in/eval/compile.rkt:105:19: 3.0ms (31.2% of total)
ival-mult: 3.0ms (31.2% of total)
ival-div: 2.0ms (20.8% of total)
ival-sub: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch81.0ms (0.8%)

Memory
17.6MiB live, 56.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
8.752856497913227e-55
1.097142323931001e-34
19.0ms
-1.1595613237883941e-209
-2.9361659937130817e-230
Samples
27.0ms352×0valid
Compiler

Compiled 370 to 291 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
...in/eval/compile.rkt:105:19: 5.0ms (27.8% of total)
ival-mult: 4.0ms (22.2% of total)
ival-exp: 3.0ms (16.7% of total)
ival-sub: 2.0ms (11.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-add: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-44.4MiB live, 28.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-1.1595613237883941e-209
-2.9361659937130817e-230
Samples
23.0ms176×0valid
Compiler

Compiled 172 to 137 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
...in/eval/compile.rkt:105:19: 3.0ms (33.1% of total)
ival-mult: 2.0ms (22.1% of total)
ival-sub: 1.0ms (11% of total)
ival-div: 1.0ms (11% of total)
ival-exp: 1.0ms (11% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
12.1MiB live, 50.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.0923652911784144e-285
2.5781352789248746e-259
9.0ms
-1.4853177256259626e-190
-6.617785094755643e-191
Samples
21.0ms256×0valid
Compiler

Compiled 210 to 176 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
...in/eval/compile.rkt:105:19: 5.0ms (34.8% of total)
ival-mult: 3.0ms (20.9% of total)
ival-div: 2.0ms (13.9% of total)
ival-exp: 2.0ms (13.9% of total)
ival-sub: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
20.8MiB live, 57.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.0923652911784144e-285
2.5781352789248746e-259
9.0ms
-1.4853177256259626e-190
-6.617785094755643e-191
Samples
23.0ms256×0valid
Compiler

Compiled 210 to 176 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 5.0ms (30.2% of total)
...in/eval/compile.rkt:105:19: 4.0ms (24.2% of total)
ival-mult: 3.0ms (18.1% of total)
ival-div: 2.0ms (12.1% of total)
ival-sub: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify72.0ms (0.7%)

Memory
-17.8MiB live, 95.9MiB allocated
Algorithm
egg-herbie
Rules
108×distribute-lft-neg-in
94×neg-mul-1
76×unsub-neg
68×neg-sub0
60×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076620
1114620
2154620
3183620
4222620
5303620
6410620
7472620
8533620
9626620
10727620
11790620
12850620
13878620
14885620
15892620
16895620
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (exp.f64 z) #s(literal 8266869891363893/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))) x))
(if (<=.f64 z #s(literal -549597469198249/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 z #s(literal -3157971635411899/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(if (<=.f64 x #s(literal -677221628865271/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) x (if (<=.f64 x #s(literal 9003422688049077/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) x))
(if (<=.f64 x #s(literal -7384223982886511/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) x (if (<=.f64 x #s(literal 2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
x
#s(literal 0 binary64)
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) y))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) y))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) y))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(if (<=.f64 (exp.f64 z) #s(literal 8266869891363893/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 8266869891363893/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) x))
(if (<=.f64 z #s(literal -549597469198249/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 z #s(literal 804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 z #s(literal -549597469198249/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 z #s(literal -3157971635411899/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(if (<=.f64 z #s(literal -3157971635411899/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) x)
(if (<=.f64 x #s(literal -677221628865271/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) x (if (<=.f64 x #s(literal 9003422688049077/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) x))
(if (<=.f64 x #s(literal -7384223982886511/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) x (if (<=.f64 x #s(literal 2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
x
#s(literal 0 binary64)

soundness4.0s (40%)

Memory
35.1MiB live, 1 098.4MiB allocated
Rules
1 145×log1p-expm1-u
1 145×expm1-log1p-u
1 106×log1p-expm1-u
867×expm1-log1p-u
778×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115525665
1308124622
026263
1455245
26861245
0105227383
1284026477
01120
110220
29912
018127
1243127
23809127
052578
1129538
2246538
3552526
41099510
52065506
63053506
73762506
83940506
94007506
104029506
114029506
023283
1318283
24831283
Stop Event
fuel
node limit
saturated
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 964 to 362 computations (62.4% saved)

preprocess75.0ms (0.8%)

Memory
3.1MiB live, 156.5MiB allocated
Compiler

Compiled 404 to 172 computations (57.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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