Linear.Quaternion:$ctanh from linear-1.19.1.3

Time bar (total: 6.5s)

start0.0ms (0%)

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

analyze141.0ms (2.2%)

Memory
-12.9MiB live, 135.0MiB allocated; 46ms collecting garbage
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
25%25%74.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.2s (17.7%)

Memory
68.9MiB live, 1 262.8MiB allocated; 334ms collecting garbage
Samples
904.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 658.0ms
ival-sin: 396.0ms (60.2% of total)
ival-div: 142.0ms (21.6% of total)
ival-mult: 106.0ms (16.1% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain102.0ms (1.6%)

Memory
-31.3MiB live, 153.5MiB allocated; 49ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
80-2(-6.804948433023321e-31 2.065649732096586e+291 -3.3273640253519714e-163)(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (/.f64 (sin.f64 y) y))
00-0-(/.f64 (sin.f64 y) y)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)u/n60
(*.f64 x (/.f64 (sin.f64 y) y))underflow23
Confusion
Predicted +Predicted -
+62
-0248
Precision
1.0
Recall
0.75
Confusion?
Predicted +Predicted MaybePredicted -
+602
-00248
Precision?
1.0
Recall?
0.75
Freqs
test
numberfreq
0250
16
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 17.0ms (59.5% of total)
ival-div: 7.0ms (24.5% of total)
ival-mult: 3.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (0.9%)

Memory
20.6MiB live, 66.3MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981
17375
218375
341275
487475
5162175
6236575
7412675
8739675
078
0118
1168
2248
3348
4468
5488
0488
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
Symmetry

(abs y)

(negabs z)

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 x (/.f64 (sin.f64 y) y))
cost-diff0
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
11623
22423
33423
44623
54823
04823
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z

localize61.0ms (0.9%)

Memory
-39.6MiB live, 38.6MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.1015625
(/.f64 (sin.f64 y) y)
accuracy0.1015625
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy1.4132365560715505
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Samples
23.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 6.0ms (51.9% of total)
ival-div: 3.0ms (26% of total)
ival-mult: 2.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
4 → 20
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
2.0ms
x
@0
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
2.0ms
y
@0
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
2.0ms
x
@-inf
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms
x
@inf
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify206.0ms (3.1%)

Memory
5.4MiB live, 194.1MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062230
1211224
2765206
33439200
47705200
08152180
Stop Event
iter limit
node limit
Counts
20 → 18
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ x z)
(/.f64 x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) z)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)

rewrite192.0ms (2.9%)

Memory
-12.8MiB live, 215.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
12220
26920
326620
4110020
0825620
Stop Event
iter limit
node limit
iter limit
Counts
4 → 205
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) z))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z))) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) z))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) z))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z)) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x)) (*.f64 z y)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 x)) (*.f64 z y)))
(+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 z y)) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z y)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) x) (*.f64 (neg.f64 y) z)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (*.f64 (neg.f64 y) z)))
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(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 (+.f64 (PI.f64) (neg.f64 y)))
(sin.f64 y)
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))

eval29.0ms (0.4%)

Memory
19.3MiB live, 64.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 287 to 984 computations (77% saved)

prune41.0ms (0.6%)

Memory
-24.0MiB live, 21.7MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New21211223
Fresh000
Picked101
Done000
Total21311224
Accuracy
100.0%
Counts
224 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.0%
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
90.0%
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))
82.7%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
48.0%
(/.f64 (*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) y)) z)
57.6%
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
57.9%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
95.8%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
86.8%
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
96.9%
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
82.1%
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
61.3%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Compiler

Compiled 252 to 208 computations (17.5% saved)

simplify432.0ms (6.6%)

Memory
16.8MiB live, 357.5MiB allocated; 187ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(/.f64 (/.f64 (sin.f64 y) y) z)
cost-diff0
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
cost-diff0
(/.f64 x (*.f64 (neg.f64 y) z))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff2
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
cost-diff0
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
cost-diff0
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
cost-diff0
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
cost-diff0
(/.f64 x z)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028170
047168
194168
2243168
3764168
42449168
54525168
65977168
08038168
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(/.f64 x z)
x
z
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
x
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
#s(literal -1/6 binary64)
(*.f64 y y)
z
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(/.f64 x (*.f64 (neg.f64 y) z))
x
(*.f64 (neg.f64 y) z)
(neg.f64 y)
z
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
x
Outputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(/.f64 x z)
x
z
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x)
x
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
#s(literal -1/6 binary64)
(*.f64 y y)
z
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(/.f64 x (*.f64 (neg.f64 y) z))
x
(*.f64 (neg.f64 y) z)
(neg.f64 y)
z
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
x

localize85.0ms (1.3%)

Memory
-21.7MiB live, 174.1MiB allocated; 21ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.07650375976844201
(/.f64 (/.f64 (sin.f64 y) y) z)
accuracy0.1015625
(/.f64 (sin.f64 y) y)
accuracy2.652562129833038
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
accuracy0.0
(neg.f64 (sin.f64 y))
accuracy0.0
(neg.f64 y)
accuracy4.6951749324869
(/.f64 x (*.f64 (neg.f64 y) z))
accuracy6.77076635099644
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
accuracy0.1015625
(*.f64 #s(literal 1/120 binary64) y)
accuracy1.4132365560715505
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
accuracy2.820853137695566
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
accuracy28.383037449585974
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
accuracy0.0
(/.f64 x z)
accuracy24.75984759143228
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
accuracy0.0
(/.f64 x z)
accuracy0.0
(sin.f64 y)
accuracy0.1015625
(/.f64 (sin.f64 y) y)
accuracy1.9719503448687457
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
Samples
66.0ms256×0valid
Compiler

Compiled 144 to 27 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 18.0ms (36.5% of total)
ival-div: 13.0ms (26.4% of total)
const: 7.0ms (14.2% of total)
ival-sin: 6.0ms (12.2% of total)
ival-add: 3.0ms (6.1% of total)
ival-neg: 2.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
-2.7MiB live, 43.6MiB allocated; 3ms collecting garbage
Counts
16 → 42
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
(/.f64 x z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(neg.f64 (sin.f64 y))
(/.f64 x (*.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 (sin.f64 y) y) z)
(*.f64 #s(literal 1/120 binary64) y)
(neg.f64 y)
Outputs
(/ (* x (sin y)) (* y z))
(/ x z)
(/ (* x (sin y)) y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1 (/ x (* y z)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(* 1/120 y)
(/ (sin y) y)
(sin y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1 (sin y))
(/ (sin y) (* y z))
Calls

9 calls:

TimeVariablePointExpression
19.0ms
z
@-inf
((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y))
5.0ms
y
@0
((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y))
4.0ms
x
@0
((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y))
3.0ms
x
@-inf
((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y))
3.0ms
x
@inf
((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y))

simplify141.0ms (2.1%)

Memory
23.2MiB live, 158.0MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121459
1374449
21248429
33705423
47982423
08020387
Stop Event
iter limit
node limit
Counts
42 → 40
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ x z)
(/ (* x (sin y)) y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1 (/ x (* y z)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(* 1/120 y)
(/ (sin y) y)
(sin y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1 (sin y))
(/ (sin y) (* y z))
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/ x z)
(/.f64 x z)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* -1 (/ x (* y z)))
(/.f64 (/.f64 (neg.f64 x) y) z)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64)))
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/6 (pow y 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* 1/120 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite230.0ms (3.5%)

Memory
22.4MiB live, 221.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028130
047128
1136128
2723128
36362128
08225128
Stop Event
iter limit
node limit
iter limit
Counts
16 → 393
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
(/.f64 x z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(neg.f64 (sin.f64 y))
(/.f64 x (*.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 (sin.f64 y) y) z)
(*.f64 #s(literal 1/120 binary64) y)
(neg.f64 y)
Outputs
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x y) (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)) x))
(neg.f64 (*.f64 (/.f64 (/.f64 x z) y) (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 y)))
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64))))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y))))))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(/.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (/.f64 x y) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 (neg.f64 x) (*.f64 z y))
(/.f64 (/.f64 x z) (neg.f64 y))
(/.f64 x (*.f64 (neg.f64 y) z))
(neg.f64 (/.f64 (/.f64 x z) y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x y) (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)) x))
(neg.f64 (*.f64 (/.f64 (/.f64 x z) y) (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 z))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 z y))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 y) z)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 y) z)))
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 y) z)) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal 1/120 binary64) y)
(*.f64 y #s(literal 1/120 binary64))
(neg.f64 y)

eval162.0ms (2.5%)

Memory
-42.6MiB live, 152.7MiB allocated; 25ms collecting garbage
Compiler

Compiled 13 764 to 1 682 computations (87.8% saved)

prune14.0ms (0.2%)

Memory
37.5MiB live, 37.5MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New4506456
Fresh336
Picked055
Done000
Total45314467
Accuracy
100.0%
Counts
467 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
82.7%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
57.6%
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
57.9%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
57.5%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
95.8%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
87.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
86.8%
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
96.9%
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
61.1%
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
45.7%
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z)))
82.1%
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
54.8%
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
61.3%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Compiler

Compiled 290 to 235 computations (19% saved)

simplify112.0ms (1.7%)

Memory
-24.7MiB live, 118.0MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
cost-diff0
(*.f64 z y)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) (*.f64 z y))
cost-diff0
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
cost-diff0
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
cost-diff0
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
cost-diff0
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
cost-diff0
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) (sin.f64 y))
cost-diff0
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032184
049184
189184
2178184
3376184
4689184
5948184
61168184
71309184
81561184
92168184
103691184
116522184
08291180
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 x z)
x
z
(sin.f64 y)
y
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(*.f64 y y)
y
z
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (*.f64 z y))
(sin.f64 y)
y
(*.f64 z y)
z
x
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(/.f64 x y)
x
Outputs
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 x z) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) z) x)
(/.f64 x z)
x
z
(sin.f64 y)
y
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(*.f64 y y)
y
z
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(sin.f64 y)
y
(*.f64 z y)
(*.f64 y z)
z
x
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(/.f64 x y)
x

localize96.0ms (1.5%)

Memory
1.6MiB live, 239.3MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.0
(sin.f64 y)
accuracy0.109375
(/.f64 (sin.f64 y) z)
accuracy8.372948485639444
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
accuracy0.0
(*.f64 z y)
accuracy0.0
(sin.f64 y)
accuracy2.652562129833038
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
accuracy7.151972978739036
(/.f64 (sin.f64 y) (*.f64 z y))
accuracy0.38671875
(*.f64 #s(literal -1/6 binary64) x)
accuracy1.4132365560715505
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
accuracy28.383037449585974
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
accuracy29.007554927214127
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
accuracy0.07650375976844201
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
accuracy2.652562129833038
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
accuracy28.179667771300196
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0
(/.f64 x z)
accuracy0.0
(sin.f64 y)
accuracy2.7512207237117137
(*.f64 (/.f64 x z) (sin.f64 y))
accuracy6.400720462218332
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
Samples
70.0ms256×0valid
Compiler

Compiled 135 to 31 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 23.0ms (42.9% of total)
ival-div: 13.0ms (24.3% of total)
const: 8.0ms (14.9% of total)
ival-sin: 6.0ms (11.2% of total)
ival-add: 2.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
17.0MiB live, 64.4MiB allocated; 2ms collecting garbage
Counts
18 → 47
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 x z)
(sin.f64 y)
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (*.f64 z y))
(*.f64 z y)
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/.f64 (sin.f64 y) z)
(/.f64 x y)
(*.f64 #s(literal -1/6 binary64) x)
Outputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) z)
(/ x z)
(/ (* x (sin y)) y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(/ x y)
(* -1/6 x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* y z)
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(sin y)
(/ (sin y) (* y z))
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(/ (sin y) z)
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x))
3.0ms
x
@inf
((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x))
3.0ms
x
@0
((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x))
3.0ms
y
@-inf
((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x))
3.0ms
z
@-inf
((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x))

simplify188.0ms (2.9%)

Memory
-29.1MiB live, 221.1MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111574
1369554
21265514
33831506
08386462
Stop Event
iter limit
node limit
Counts
47 → 45
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) z)
(/ x z)
(/ (* x (sin y)) y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(/ x y)
(* -1/6 x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* y z)
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(sin y)
(/ (sin y) (* y z))
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(/ (sin y) z)
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/ x z)
(/.f64 x z)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(/ x y)
(/.f64 x y)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64)))
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(*.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* y z)
(*.f64 y z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) z) (/.f64 y z))
(sin y)
(sin.f64 y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)

rewrite139.0ms (2.1%)

Memory
38.2MiB live, 128.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032161
049161
1134161
2635161
34793161
09031157
Stop Event
iter limit
node limit
iter limit
Counts
18 → 212
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 x z)
(sin.f64 y)
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (*.f64 z y))
(*.f64 z y)
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/.f64 (sin.f64 y) z)
(/.f64 x y)
(*.f64 #s(literal -1/6 binary64) x)
Outputs
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
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eval87.0ms (1.3%)

Memory
-4.2MiB live, 93.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 9 730 to 983 computations (89.9% saved)

prune14.0ms (0.2%)

Memory
-11.7MiB live, 32.1MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New3083311
Fresh044
Picked055
Done055
Total30817325
Accuracy
100.0%
Counts
325 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
82.7%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
57.6%
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
50.7%
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
57.6%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
57.9%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
57.5%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
95.8%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
87.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
86.8%
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
96.9%
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
61.1%
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
45.7%
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z)))
82.1%
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
54.2%
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
54.8%
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
61.3%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Compiler

Compiled 335 to 262 computations (21.8% saved)

simplify273.0ms (4.2%)

Memory
-10.2MiB live, 174.8MiB allocated; 29ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x))
cost-diff0
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
cost-diff0
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y)
cost-diff0
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x))
cost-diff0
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (sin y) z) (/.f64 y z))
cost-diff0
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
cost-diff0
(/.f64 x (*.f64 (neg.f64 y) z))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (neg (sin y)) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
cost-diff0
(*.f64 z y)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038225
057225
1108225
2201225
3398225
4768225
51161225
61535225
71935225
82487225
93705225
106509225
08108220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 z y)
z
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
y
(/.f64 x (*.f64 (neg.f64 y) z))
x
(*.f64 (neg.f64 y) z)
z
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
#s(approx (/ (sin y) z) (/.f64 y z))
(/.f64 y z)
y
z
(/.f64 x y)
x
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x))
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
y
z
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 z y)
z
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) (neg.f64 x))
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
y
(/.f64 x (*.f64 (neg.f64 y) z))
x
(*.f64 (neg.f64 y) z)
z
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z)))
#s(approx (/ (sin y) z) (/.f64 y z))
(/.f64 y z)
y
z
(/.f64 x y)
x
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
y
z
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y)
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x))
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
(/.f64 y z)
y
z
x

localize102.0ms (1.6%)

Memory
33.9MiB live, 123.0MiB allocated; 9ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y z)
accuracy3.3202154022142394
(*.f64 (/.f64 y z) x)
accuracy6.400720462218332
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
accuracy25.878387121737546
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x))
accuracy0.38671875
(*.f64 #s(literal -1/6 binary64) x)
accuracy1.4132365560715505
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
accuracy28.383037449585974
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x))
accuracy29.007554927214127
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
accuracy0.0
(/.f64 y z)
accuracy0.0
(/.f64 x y)
accuracy8.372948485639444
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
accuracy28.268179034587146
#s(approx (/ (sin y) z) (/.f64 y z))
accuracy0.0
(neg.f64 y)
accuracy4.6951749324869
(/.f64 x (*.f64 (neg.f64 y) z))
accuracy6.77076635099644
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
accuracy28.344150139833456
#s(approx (neg (sin y)) (neg.f64 y))
accuracy0.0
(*.f64 z y)
accuracy0.0
(sin.f64 y)
accuracy0.11328125
(*.f64 (sin.f64 y) x)
accuracy10.940652810465664
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
Samples
83.0ms256×0valid
Compiler

Compiled 152 to 35 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 27.0ms (40.7% of total)
ival-div: 14.0ms (21.1% of total)
ival-neg: 10.0ms (15.1% of total)
ival-sin: 6.0ms (9% of total)
const: 6.0ms (9% of total)
ival-add: 2.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series71.0ms (1.1%)

Memory
-15.9MiB live, 83.1MiB allocated; 22ms collecting garbage
Counts
21 → 54
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 z y)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
(/.f64 x (*.f64 (neg.f64 y) z))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
#s(approx (/ (sin y) z) (/.f64 y z))
(/.f64 y z)
(/.f64 x y)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x))
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
Outputs
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* -1 (/ x (* y z)))
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (* y (- (* 1/120 (pow y 2)) 1/6)))
(/ (* x (sin y)) z)
(/ (* x y) z)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1/6 x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* y z)
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/6 (* x y))
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(sin y)
(* -1 (sin y))
(/ (sin y) z)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
Calls

9 calls:

TimeVariablePointExpression
40.0ms
x
@0
((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x))
7.0ms
z
@0
((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x))
5.0ms
x
@-inf
((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x))
4.0ms
x
@inf
((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x))
4.0ms
y
@-inf
((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x))

simplify182.0ms (2.8%)

Memory
-16.7MiB live, 136.5MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147648
1492622
21692586
35116580
08304536
Stop Event
iter limit
node limit
Counts
54 → 52
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* -1 (/ x (* y z)))
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (* y (- (* 1/120 (pow y 2)) 1/6)))
(/ (* x (sin y)) z)
(/ (* x y) z)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1/6 x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* y z)
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/6 (* x y))
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(sin y)
(* -1 (sin y))
(/ (sin y) z)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (/ x (* y z)))
(/.f64 (/.f64 (neg.f64 x) y) z)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(* x (* y (- (* 1/120 (pow y 2)) 1/6)))
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y)
(/ (* x (sin y)) z)
(*.f64 (/.f64 (sin.f64 y) z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/ x z)
(/.f64 x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) z)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (*.f64 y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y)
(* y z)
(*.f64 z y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/6 (pow y 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)) y))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) z) (/.f64 y z))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
(* -1/6 (* x y))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y)
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(*.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(/.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) z)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) z) y)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(sin y)
(sin.f64 y)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (* x (pow y 3)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)))
(* 1/120 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/120 binary64))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) y) y (*.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)))

rewrite250.0ms (3.8%)

Memory
23.7MiB live, 216.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038202
057202
1151202
2674202
34782202
08916197
Stop Event
iter limit
node limit
iter limit
Counts
21 → 231
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 z y)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
(/.f64 x (*.f64 (neg.f64 y) z))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
#s(approx (/ (sin y) z) (/.f64 y z))
(/.f64 y z)
(/.f64 x y)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x))
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) y)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 y) (PI.f64)))
(sin.f64 y)
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 z y)
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y))
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y)) (/.f64 x z))
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 (/.f64 x z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
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(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
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(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x))))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))
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(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y)
(*.f64 y #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y))) (neg.f64 y))
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y)
(neg.f64 (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) (neg.f64 y)))
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y))
(neg.f64 (neg.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y))))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) z)
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x))
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))

eval48.0ms (0.7%)

Memory
8.7MiB live, 52.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 135 to 1 021 computations (89.9% saved)

prune35.0ms (0.5%)

Memory
-19.8MiB live, 26.4MiB allocated; 3ms collecting garbage
Pruning

23 alts after pruning (8 fresh and 15 done)

PrunedKeptTotal
New2766282
Fresh022
Picked055
Done01010
Total27623299
Accuracy
100.0%
Counts
299 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
82.7%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
57.6%
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
49.3%
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
50.7%
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
51.5%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
57.6%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
57.9%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
57.5%
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
95.8%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
87.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
86.8%
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
96.9%
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
61.1%
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
45.7%
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z)))
82.1%
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
57.5%
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
54.2%
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
57.2%
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
55.5%
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
54.8%
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
54.7%
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
61.3%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Compiler

Compiled 653 to 351 computations (46.2% saved)

regimes75.0ms (1.1%)

Memory
0.5MiB live, 47.2MiB allocated; 2ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) y)) z)
Outputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Calls

6 calls:

7.0ms
z
7.0ms
x
7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
y
7.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
AccuracySegmentsBranch
97.8%1(/.f64 (sin.f64 y) y)
97.8%1(*.f64 x (/.f64 (sin.f64 y) y))
97.8%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
99.8%2x
97.8%1y
99.8%2z
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes12.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
Calls

2 calls:

6.0ms
z
6.0ms
x
Results
AccuracySegmentsBranch
99.8%2z
96.9%1x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes39.0ms (0.6%)

Memory
-12.6MiB live, 39.6MiB allocated; 7ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
Outputs
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
Calls

5 calls:

17.0ms
z
5.0ms
y
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
96.9%1(/.f64 (sin.f64 y) y)
98.8%2(*.f64 x (/.f64 (sin.f64 y) y))
98.8%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
96.9%1y
96.9%1z
Compiler

Compiled 20 to 24 computations (-20% saved)

regimes40.0ms (0.6%)

Memory
5.0MiB live, 49.2MiB allocated; 5ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
Calls

6 calls:

15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
z
5.0ms
x
5.0ms
y
5.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
AccuracySegmentsBranch
95.4%2(/.f64 (sin.f64 y) y)
87.8%1x
95.4%2y
90.3%2z
87.8%1(*.f64 x (/.f64 (sin.f64 y) y))
90.9%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes10.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
Outputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
Calls

2 calls:

4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
95.4%2(/.f64 (sin.f64 y) y)
95.4%2y
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes55.0ms (0.8%)

Memory
-20.7MiB live, 26.6MiB allocated; 1ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)
Outputs
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))
Calls

6 calls:

33.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms
x
4.0ms
z
4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
y
Results
AccuracySegmentsBranch
68.2%2(*.f64 x (/.f64 (sin.f64 y) y))
65.5%2x
65.1%2z
68.4%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
68.7%2(/.f64 (sin.f64 y) y)
68.7%2y
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes8.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
Outputs
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
Calls

2 calls:

4.0ms
y
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
68.5%2(/.f64 (sin.f64 y) y)
68.5%2y
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z)
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y)
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y)
Outputs
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
68.5%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)))
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y))
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))
Outputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))
Calls

4 calls:

3.0ms
y
2.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
AccuracySegmentsBranch
66.9%2(*.f64 x (/.f64 (sin.f64 y) y))
68.1%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
68.1%2(/.f64 (sin.f64 y) y)
68.1%2y
Compiler

Compiled 19 to 21 computations (-10.5% saved)

regimes40.0ms (0.6%)

Memory
-26.0MiB live, 20.3MiB allocated; 3ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
Outputs
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

6 calls:

32.0ms
y
1.0ms
z
1.0ms
x
1.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
61.3%1z
61.3%1x
63.2%2(*.f64 x (/.f64 (sin.f64 y) y))
64.2%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
64.2%2(/.f64 (sin.f64 y) y)
64.2%2y
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes5.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

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

4 calls:

1.0ms
y
1.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
1.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
61.3%1(*.f64 x (/.f64 (sin.f64 y) y))
61.3%1y
61.3%1(/.f64 (sin.f64 y) y)
61.3%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 19 to 21 computations (-10.5% saved)

bsearch44.0ms (0.7%)

Memory
-30.3MiB live, 22.9MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
3525.9801813511995
187307280110.05408
Samples
36.0ms144×0valid
Compiler

Compiled 155 to 157 computations (-1.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 28.0ms (86.3% of total)
ival-sin: 3.0ms (9.2% of total)
ival-mult: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.0496443867293714e-80
7.184832175743132e-79
Samples
7.0ms112×0valid
Compiler

Compiled 123 to 125 computations (-1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 2.0ms (42.6% of total)
ival-div: 1.0ms (21.3% of total)
ival-mult: 1.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.654200141761426e+74
-7.77003258744493e+60
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch12.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
8.349182982340662e-12
7.587403079993693e-10
Samples
6.0ms112×0valid
Compiler

Compiled 151 to 139 computations (7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (27.6% of total)
ival-mult: 1.0ms (27.6% of total)
ival-sin: 1.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory
-42.0MiB live, 2.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
8.349182982340662e-12
7.587403079993693e-10
Compiler

Compiled 151 to 139 computations (7.9% saved)

bsearch15.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
146352.08253266703
12841199.019778509
Samples
9.0ms112×0valid
Compiler

Compiled 207 to 188 computations (9.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 4.0ms (64.4% of total)
ival-div: 1.0ms (16.1% of total)
ival-mult: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
146352.08253266703
12841199.019778509
Compiler

Compiled 207 to 181 computations (12.6% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
146352.08253266703
12841199.019778509
Compiler

Compiled 291 to 230 computations (21% saved)

bsearch7.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
3.6014729815422924e+85
6.101377571244998e+92
Samples
4.0ms48×0valid
Compiler

Compiled 86 to 76 computations (11.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 2.0ms (75.3% of total)
ival-div: 1.0ms (37.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.04e-322
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify67.0ms (1%)

Memory
-12.5MiB live, 32.9MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078301
1121301
2191299
3349299
4668299
51039299
61518299
72425299
84134299
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 12000000000 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))
(if (<=.f64 z #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)))
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x))
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)))
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(if (<=.f64 y #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Outputs
(if (<=.f64 x #s(literal 12000000000 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))
(if (<=.f64 z #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)))
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x))
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)))
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(if (<=.f64 y #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))

derivations1.1s (17.5%)

Memory
24.8MiB live, 940.7MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147648
1492622
21692586
35116580
08304536
038202
057202
1151202
2674202
34782202
08916197
062230
1211224
2765206
33439200
47705200
08152180
0720
01120
12220
26920
326620
4110020
0825620
0121459
1374449
21248429
33705423
47982423
08020387
028130
047128
1136128
2723128
36362128
08225128
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 299 to 80 computations (73.2% saved)

preprocess187.0ms (2.9%)

Memory
-1.6MiB live, 142.0MiB allocated; 17ms collecting garbage
Remove

(negabs z)

(abs y)

Compiler

Compiled 846 to 304 computations (64.1% saved)

end0.0ms (0%)

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

Profiling

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