Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze155.0ms (3.4%)

Memory
-13.8MiB live, 143.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
25%25%74.9%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
56.3%56.1%43.7%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample992.0ms (21.8%)

Memory
11.6MiB live, 723.1MiB allocated
Samples
595.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-div: 166.0ms (61% of total)
ival-mult: 97.0ms (35.7% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain138.0ms (3%)

Memory
5.4MiB live, 162.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-1(8.656435455296596e+268 -1.3011076096082215e-284 -1.1273074085473355e-84 8.009083741777745e-120)(/.f64 (*.f64 (/.f64 y z) t) t)
220-0-(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
210-0-(*.f64 (/.f64 y z) t)
00-0-y
00-0-t
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (/.f64 y z) t) t)u/n280
(*.f64 (/.f64 y z) t)underflow45
(/.f64 y z)underflow27
/.f64(/.f64 (*.f64 (/.f64 y z) t) t)o/n210
(*.f64 (/.f64 y z) t)overflow43
(/.f64 y z)overflow33
*.f64(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))n*u130
*.f64(*.f64 (/.f64 y z) t)n*o110
*.f64(*.f64 (/.f64 y z) t)n*u100
*.f64(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))n*o90
Confusion
Predicted +Predicted -
+611
-22172
Precision
0.7349397590361446
Recall
0.9838709677419355
Confusion?
Predicted +Predicted MaybePredicted -
+6101
-220172
Precision?
0.7349397590361446
Recall?
0.9838709677419355
Freqs
test
numberfreq
0173
174
29
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 125 to 44 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (55.2% of total)
ival-mult: 6.0ms (41.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess223.0ms (4.9%)

Memory
13.4MiB live, 209.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050140
115878
247174
3170574
4424074
5704674
6754074
7765474
8774174
9778374
089
0129
1207
2435
3885
43215
510105
625245
728395
830225
930965
1031475
1132015
1258905
1360265
1464565
1569405
1676075
081015
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Outputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) x)
Symmetry

(abs t)

(negabs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify192.0ms (4.2%)

Memory
-16.7MiB live, 147.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) t)
cost-diff0
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
cost-diff1024
(/.f64 (*.f64 (/.f64 y z) t) t)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0828
01224
12022
24320
38820
432120
5101020
6252420
7283920
8302220
9309620
10314720
11320120
12589020
13602620
14645620
15694020
16760720
0810120
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
x
(/.f64 (*.f64 (/.f64 y z) t) t)
(*.f64 (/.f64 y z) t)
(/.f64 y z)
y
z
t
Outputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) x)
x
(/.f64 (*.f64 (/.f64 y z) t) t)
(/.f64 y z)
(*.f64 (/.f64 y z) t)
(*.f64 t (/.f64 y z))
(/.f64 y z)
y
z
t

localize19.0ms (0.4%)

Memory
28.6MiB live, 28.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy5.363314451616865
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
accuracy5.413543809217239
(*.f64 (/.f64 y z) t)
accuracy10.11052881744589
(/.f64 (*.f64 (/.f64 y z) t) t)
Samples
14.0ms256×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (46.3% of total)
ival-mult: 3.0ms (46.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-13.3MiB live, 25.3MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y z) t) t)
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) t)
(/.f64 y z)
Outputs
(/ (* x y) z)
(/ y z)
(/ (* t y) z)
Calls

12 calls:

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

simplify3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11313
21913
32113
02113
Stop Event
iter limit
saturated
Counts
3 → 3
Calls
Call 1
Inputs
(/ (* x y) z)
(/ y z)
(/ (* t y) z)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
(/ (* t y) z)
(*.f64 (/.f64 y z) t)

rewrite162.0ms (3.6%)

Memory
12.3MiB live, 132.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
01220
13516
219116
3145916
0589616
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 400
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y z) t) t)
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) t)
(/.f64 y z)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) t))
(*.f64 (pow.f64 (pow.f64 (*.f64 t y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 t z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) z) t))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 (neg.f64 t) z) t) (neg.f64 y))
(*.f64 (/.f64 y t) (/.f64 t z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) t) (*.f64 (neg.f64 y) t))
(*.f64 (pow.f64 (*.f64 t z) #s(literal -1 binary64)) (*.f64 t y))
(*.f64 (/.f64 (/.f64 t z) t) y)
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) t) (neg.f64 t))
(*.f64 (/.f64 (/.f64 y z) t) t)
(*.f64 (/.f64 t z) (/.f64 y t))
(*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 t) z) y))
(*.f64 (*.f64 (neg.f64 y) t) (/.f64 (/.f64 #s(literal -1 binary64) z) t))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 t y) (pow.f64 (*.f64 t z) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 t (/.f64 y z)))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 t) z) t))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 t) (/.f64 (/.f64 (neg.f64 y) z) t))
(*.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (/.f64 #s(literal -1 binary64) t))
(*.f64 (*.f64 t (/.f64 y z)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 t (/.f64 (/.f64 y z) t))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 y (/.f64 (/.f64 t z) t))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 z y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z))) (/.f64 (neg.f64 y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (/.f64 y z)) t)) (*.f64 (neg.f64 t) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) z) (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t z)) (*.f64 (neg.f64 z) (*.f64 (/.f64 z y) t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (*.f64 (*.f64 (neg.f64 y) t) t)) (*.f64 (*.f64 t z) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 t)) (*.f64 (/.f64 z y) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t z)) (*.f64 (*.f64 t y) t)) (*.f64 (*.f64 (neg.f64 z) t) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) t) (*.f64 (/.f64 (neg.f64 z) y) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t z)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) t))) (*.f64 (neg.f64 z) (*.f64 t z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) (*.f64 t y))) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 t) z) y))) (*.f64 (neg.f64 z) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (*.f64 t (/.f64 y z)))) (*.f64 t z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 z) y) t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t t)) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t)) (*.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) t)) (*.f64 t z))
(/.f64 (*.f64 (*.f64 (neg.f64 y) t) t) (*.f64 (*.f64 (neg.f64 z) t) t))
(/.f64 (*.f64 (*.f64 t y) t) (*.f64 (*.f64 t z) t))
(/.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 (*.f64 t (/.f64 y z)) t) (*.f64 t t))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64))) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -3 binary64))) (*.f64 (neg.f64 t) (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 z) (*.f64 y y)))
(/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) (*.f64 t t)))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) t))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t)))
(/.f64 (*.f64 t t) (*.f64 (*.f64 (/.f64 z y) t) t))
(/.f64 (/.f64 (/.f64 y z) t) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (/.f64 t z) (/.f64 t y))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 z) y) t))
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)))
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 z) t))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 t y) (*.f64 t z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 z y) t))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (neg.f64 t) (*.f64 (*.f64 (/.f64 z y) t) #s(literal -1 binary64)))
(/.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t))
(/.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (neg.f64 t))
(/.f64 (*.f64 t (/.f64 y z)) t)
(/.f64 t (*.f64 (/.f64 z y) t))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64) (/.f64 y z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 t (*.f64 (*.f64 x t) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 y z) t) x) t)
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y))
(*.f64 (/.f64 (*.f64 (*.f64 x t) y) t) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x t) (*.f64 (neg.f64 y) t)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 x t) (*.f64 t y)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) t) (/.f64 (/.f64 #s(literal -1 binary64) z) t))
(*.f64 (*.f64 (/.f64 x t) (pow.f64 z #s(literal -1 binary64))) (*.f64 t y))
(*.f64 (*.f64 (/.f64 x t) (/.f64 y z)) t)
(*.f64 (*.f64 (/.f64 x t) t) (/.f64 y z))
(*.f64 (*.f64 (/.f64 t z) (/.f64 x t)) y)
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t z)) (*.f64 (neg.f64 z) (*.f64 (/.f64 z y) t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (*.f64 (*.f64 (neg.f64 y) t) t)) (*.f64 (*.f64 t z) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 t)) (*.f64 (/.f64 z y) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t z)) (*.f64 (*.f64 t y) t)) (*.f64 (*.f64 (neg.f64 z) t) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) t) (*.f64 (/.f64 (neg.f64 z) y) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t z)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) t))) (*.f64 (neg.f64 z) (*.f64 t z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) (*.f64 t y))) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 t) z) y))) (*.f64 (neg.f64 z) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (*.f64 t (/.f64 y z)))) (*.f64 t z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 z) y) t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t t)) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t)) (*.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) t)) (*.f64 t z))
(/.f64 (*.f64 (*.f64 (neg.f64 y) t) t) (*.f64 (*.f64 (neg.f64 z) t) t))
(/.f64 (*.f64 (*.f64 t y) t) (*.f64 (*.f64 t z) t))
(/.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 (*.f64 t (/.f64 y z)) t) (*.f64 t t))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64))) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -3 binary64))) (*.f64 (neg.f64 t) (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 z) (*.f64 y y)))
(/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) (*.f64 t t)))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) t))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t)))
(/.f64 (*.f64 t t) (*.f64 (*.f64 (/.f64 z y) t) t))
(/.f64 (/.f64 (/.f64 y z) t) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (/.f64 t z) (/.f64 t y))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 z) y) t))
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)))
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 z) t))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 t y) (*.f64 t z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 z y) t))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (neg.f64 t) (*.f64 (*.f64 (/.f64 z y) t) #s(literal -1 binary64)))
(/.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t))
(/.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (neg.f64 t))
(/.f64 (*.f64 t (/.f64 y z)) t)
(/.f64 t (*.f64 (/.f64 z y) t))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64) (/.f64 y z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 y z))

eval70.0ms (1.5%)

Memory
-7.6MiB live, 67.7MiB allocated
Compiler

Compiled 3 652 to 820 computations (77.5% saved)

prune20.0ms (0.4%)

Memory
-9.9MiB live, 33.4MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2956301
Fresh000
Picked101
Done000
Total2966302
Accuracy
100.0%
Counts
302 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(/.f64 (*.f64 x y) z)
92.5%
(/.f64 x (/.f64 z y))
91.6%
(*.f64 (/.f64 y z) x)
90.4%
(*.f64 (/.f64 x z) y)
94.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
69.8%
(*.f64 (*.f64 (/.f64 x t) (pow.f64 z #s(literal -1 binary64))) (*.f64 t y))
Compiler

Compiled 78 to 86 computations (-10.3% saved)

simplify37.0ms (0.8%)

Memory
-5.3MiB live, 31.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
cost-diff0
(/.f64 z y)
cost-diff384
(/.f64 x (/.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01665
02862
14362
27762
319062
435862
551062
669562
7145162
8187462
9195262
10196662
11197862
0197862
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
Outputs
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 y x) z)
(*.f64 x y)
(*.f64 y x)
x
y
z
(*.f64 (/.f64 x z) y)
(/.f64 (*.f64 y x) z)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 y x) z)
(/.f64 y z)
y
z
x
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 y x) z)
x
(/.f64 z y)
z
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x

localize52.0ms (1.1%)

Memory
-5.8MiB live, 116.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) z)
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy3.518578507576028
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
accuracy0
(/.f64 z y)
accuracy4.7707976828224075
(/.f64 x (/.f64 z y))
accuracy0
(/.f64 y z)
accuracy5.363314451616865
(*.f64 (/.f64 y z) x)
accuracy0
(/.f64 x z)
accuracy6.121592344024415
(*.f64 (/.f64 x z) y)
accuracy0
(*.f64 x y)
accuracy3.4248291398223407
(/.f64 (*.f64 x y) z)
Samples
37.0ms256×0valid
Compiler

Compiled 132 to 36 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (46.6% of total)
ival-mult: 9.0ms (46.6% of total)
ival-neg: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
31.5MiB live, 31.5MiB allocated
Counts
12 → 8
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 x (/.f64 z y))
(/.f64 z y)
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
Outputs
(/ (* x y) z)
(* x y)
(/ x z)
(* -1 (* x y))
(/ y z)
(/ z y)
(* -1 y)
(/ -1 z)
Calls

12 calls:

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

simplify6.0ms (0.1%)

Memory
-24.5MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12026
23126
33526
44326
55426
66526
78626
810926
911126
1011226
011226
Stop Event
iter limit
saturated
Counts
8 → 8
Calls
Call 1
Inputs
(/ (* x y) z)
(* x y)
(/ x z)
(* -1 (* x y))
(/ y z)
(/ z y)
(* -1 y)
(/ -1 z)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* x y)
(*.f64 y x)
(/ x z)
(/.f64 x z)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(/ y z)
(/.f64 y z)
(/ z y)
(/.f64 z y)
(* -1 y)
(neg.f64 y)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)

rewrite130.0ms (2.9%)

Memory
-5.8MiB live, 173.9MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01649
02845
17245
228445
3141145
4611444
0823144
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 181
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 x (/.f64 z y))
(/.f64 z y)
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
Outputs
(*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x z) (*.f64 y y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 y y) x) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 (*.f64 (*.f64 y y) z) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))
(*.f64 (*.f64 y y) (/.f64 (/.f64 x z) y))
(*.f64 (*.f64 y y) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z x)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (/.f64 x z) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (*.f64 (*.f64 y y) z)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 z x)))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (/.f64 y z) x)
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 y (*.f64 (/.f64 x z) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z y) x) (/.f64 (/.f64 z y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x))) (*.f64 (/.f64 y z) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 z y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 (/.f64 x z) (*.f64 y y)))) (*.f64 (/.f64 z y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (/.f64 z y) (*.f64 (*.f64 y y) x))) (*.f64 (/.f64 z y) (*.f64 z y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) z)) (*.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) (*.f64 (/.f64 z y) (*.f64 (*.f64 y y) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 (/.f64 y z) x))) (/.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 z y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y))
(*.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (/.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 y (/.f64 y y))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 9 binary64))) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(neg.f64 y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 y (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 y (/.f64 y y) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 y #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y

eval69.0ms (1.5%)

Memory
11.9MiB live, 165.3MiB allocated
Compiler

Compiled 7 474 to 1 450 computations (80.6% saved)

prune13.0ms (0.3%)

Memory
1.8MiB live, 39.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New6161617
Fresh101
Picked055
Done000
Total6176623
Accuracy
100.0%
Counts
623 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
94.6%
(/.f64 (*.f64 x y) z)
92.5%
(/.f64 x (/.f64 z y))
91.6%
(*.f64 (/.f64 y z) x)
90.4%
(*.f64 (/.f64 x z) y)
94.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify249.0ms (5.5%)

Memory
-1.0MiB live, 155.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal -1 binary64))
cost-diff0
(*.f64 z y)
cost-diff1024
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
cost-diff6080
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931
01431
12731
27225
319723
437023
570623
6182723
7191423
8196323
9203823
10212723
11224123
12319323
13372523
14421023
15490523
16541623
17579423
18599423
19619623
20639323
21724823
0837223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 z y)
z
y
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 z z)
Outputs
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (/.f64 y z) x)
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(/.f64 (*.f64 z z) x)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 z z)

localize120.0ms (2.6%)

Memory
-7.0MiB live, 32.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 z y)
accuracy7.336642785608647
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
accuracy20.13159680818955
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
Samples
114.0ms256×0valid
Compiler

Compiled 64 to 22 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.9% of total)
ival-pow: 3.0ms (32.9% of total)
ival-div: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 z y)
(pow.f64 x #s(literal -1 binary64))
(*.f64 z z)
Outputs
(/ (pow z 2) x)
(/ (* x y) z)
(/ 1 x)
(* y z)
(pow z 2)
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((* (pow x -1) (* z z)) (/ (* z y) (* (pow x -1) (* z z))) (* z y) (pow x -1) (* z z))
1.0ms
z
@inf
((* (pow x -1) (* z z)) (/ (* z y) (* (pow x -1) (* z z))) (* z y) (pow x -1) (* z z))
1.0ms
x
@-inf
((* (pow x -1) (* z z)) (/ (* z y) (* (pow x -1) (* z z))) (* z y) (pow x -1) (* z z))
1.0ms
x
@0
((* (pow x -1) (* z z)) (/ (* z y) (* (pow x -1) (* z z))) (* z y) (pow x -1) (* z z))
1.0ms
z
@0
((* (pow x -1) (* z z)) (/ (* z y) (* (pow x -1) (* z z))) (* z y) (pow x -1) (* z z))

simplify2.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11819
22319
32519
02519
Stop Event
iter limit
saturated
Counts
5 → 5
Calls
Call 1
Inputs
(/ (pow z 2) x)
(/ (* x y) z)
(/ 1 x)
(* y z)
(pow z 2)
Outputs
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* y z)
(*.f64 y z)
(pow z 2)
(*.f64 z z)

rewrite303.0ms (6.7%)

Memory
-2.9MiB live, 80.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0927
01427
14323
222519
3186519
4756619
0866519
Stop Event
iter limit
node limit
iter limit
Counts
5 → 384
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 z y)
(pow.f64 x #s(literal -1 binary64))
(*.f64 z z)
Outputs
(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 z) x) (neg.f64 z))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 z) z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z x) z)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z))
(*.f64 (*.f64 (/.f64 (neg.f64 z) x) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x))
(*.f64 (/.f64 (*.f64 z z) x) #s(literal 1 binary64))
(*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 z (/.f64 z x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) x) z))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z z) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 z) x) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) z)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 4 binary64)))) (/.f64 (*.f64 z z) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 6 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 4 binary64))) (*.f64 (/.f64 (neg.f64 z) x) z))
(/.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 6 binary64))) (neg.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 4 binary64))))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 x) z))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(/.f64 (/.f64 z x) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 z) x) z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(/.f64 (/.f64 (*.f64 z z) x) #s(literal 1 binary64))
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 z #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 z) x) z))
(fma.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 z) x) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 z x) z #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 z) x) z) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 z (/.f64 z x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) x) z) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 (neg.f64 z) x) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) z))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 z))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 x)))))
(exp.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 z z) x)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) x))
(+.f64 (/.f64 (*.f64 z z) x) #s(literal 0 binary64))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) y) x)) (*.f64 (/.f64 (neg.f64 z) x) z)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) z) (/.f64 (/.f64 (neg.f64 z) y) x)))
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (/.f64 y z) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (*.f64 (neg.f64 z) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z))
(/.f64 (*.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) z) (pow.f64 z #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (*.f64 z z))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) y)))
(/.f64 (*.f64 (*.f64 y z) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (/.f64 y (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(/.f64 (/.f64 z (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(/.f64 (/.f64 (*.f64 y z) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 z) (pow.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 z z) y) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z))
(/.f64 (*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y z)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(/.f64 (*.f64 (/.f64 y z) (neg.f64 z)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (/.f64 y z) z) (/.f64 z x))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) z) (neg.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) z) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z))
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 y (/.f64 (neg.f64 z) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal -1 binary64)))
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(/.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 z z) y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 y x) z)
(/.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 z y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
(/.f64 (/.f64 x (*.f64 z z)) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(/.f64 (/.f64 y (*.f64 z z)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(/.f64 (*.f64 z x) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 (/.f64 (neg.f64 z) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) z) (pow.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y z) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 z #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (*.f64 y z) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 z z) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 z (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) z) z) (*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 z) x) (*.f64 (/.f64 y z) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (*.f64 (/.f64 y z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) x))
(/.f64 (*.f64 y z) (/.f64 (*.f64 z z) x))
(/.f64 y (/.f64 z x))
(/.f64 z (/.f64 (/.f64 (*.f64 z z) y) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) x))
(/.f64 x (/.f64 z y))
(neg.f64 (/.f64 y (/.f64 (neg.f64 z) x)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 x)) #s(literal 0 binary64) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 y (/.f64 (neg.f64 z) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 y (/.f64 (neg.f64 z) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (/.f64 y (/.f64 (neg.f64 z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 x)) #s(literal 0 binary64)) (*.f64 (/.f64 y z) x))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 y z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 y z) #s(literal 1 binary64))
(/.f64 y (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(neg.f64 (*.f64 (neg.f64 z) y))
(fma.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) #s(literal 0 binary64))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (*.f64 y z) #s(literal 0 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z x))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) z)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 z x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 z (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 z) x) (neg.f64 z))
(/.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 z) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 z x) z)
(/.f64 #s(literal 1 binary64) x)
(/.f64 z (*.f64 z x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 z z) #s(literal 1 binary64))
(/.f64 z (pow.f64 z #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval44.0ms (1%)

Memory
7.0MiB live, 44.1MiB allocated
Compiler

Compiled 5 561 to 937 computations (83.2% saved)

prune124.0ms (2.7%)

Memory
-19.5MiB live, 17.1MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3881389
Fresh000
Picked101
Done055
Total3896395
Accuracy
100.0%
Counts
395 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
94.6%
(/.f64 (*.f64 x y) z)
92.5%
(/.f64 x (/.f64 z y))
91.6%
(*.f64 (/.f64 y z) x)
90.4%
(*.f64 (/.f64 x z) y)
94.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify295.0ms (6.5%)

Memory
14.8MiB live, 100.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 (*.f64 z x) y)
cost-diff640
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0723
01123
12223
25221
311019
414119
533119
694219
7164419
8176719
9186119
10219419
11271519
12329419
13393819
14491519
15527719
16536019
17540019
18594719
19638519
20782419
0800919
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
z
x
y
(*.f64 z z)
Outputs
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
(*.f64 (/.f64 y z) x)
(*.f64 (*.f64 z x) y)
(*.f64 y (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
y
(*.f64 z z)

localize112.0ms (2.5%)

Memory
-18.0MiB live, 19.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 z x)
accuracy4.567073191733155
(*.f64 (*.f64 z x) y)
accuracy22.446359596483834
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
Samples
107.0ms256×0valid
Compiler

Compiled 48 to 18 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (79.6% of total)
ival-div: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
15.9MiB live, 16.0MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 z z)
Outputs
(/ (* x y) z)
(* x (* y z))
(* x z)
(pow z 2)
Calls

12 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
((/ (* (* z x) y) (* z z)) (* (* z x) y) (* z x) (* z z))
1.0ms
x
@-inf
((/ (* (* z x) y) (* z z)) (* (* z x) y) (* z x) (* z z))
1.0ms
x
@0
((/ (* (* z x) y) (* z z)) (* (* z x) y) (* z x) (* z z))
1.0ms
z
@inf
((/ (* (* z x) y) (* z z)) (* (* z x) y) (* z x) (* z z))
1.0ms
y
@-inf
((/ (* (* z x) y) (* z z)) (* (* z x) y) (* z x) (* z z))

simplify3.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11816
22416
32516
02516
Stop Event
iter limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
(/ (* x y) z)
(* x (* y z))
(* x z)
(pow z 2)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* x z)
(*.f64 x z)
(pow z 2)
(*.f64 z z)

rewrite110.0ms (2.4%)

Memory
-16.6MiB live, 107.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
13220
215516
399716
0515616
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 260
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 z z)
Outputs
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) x)
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z x)) (*.f64 y z))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) x)
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x z))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1 binary64))) y)
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y x))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 y z))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) z)) (*.f64 (neg.f64 z) x))
(*.f64 (/.f64 (/.f64 y z) (neg.f64 z)) (*.f64 (neg.f64 z) x))
(*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (*.f64 (pow.f64 z #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x z)))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 z y) (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x z))) #s(literal -1 binary64)) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal -2 binary64)) y))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 z #s(literal -2 binary64)) y)) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) y) (*.f64 (neg.f64 z) x))
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) (/.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) (*.f64 y z))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 x z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) z)
(*.f64 (*.f64 y z) (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (*.f64 y z) (*.f64 (pow.f64 z #s(literal -2 binary64)) x))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x z))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 z) y) x))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 z) x) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z y)))
(*.f64 (*.f64 (neg.f64 z) x) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 z) x) (/.f64 (/.f64 y z) (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 z) x) (/.f64 (/.f64 (neg.f64 y) z) z))
(*.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) y))
(*.f64 (neg.f64 z) (/.f64 (*.f64 (/.f64 y z) x) (neg.f64 z)))
(*.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 z #s(literal -2 binary64)) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 (*.f64 (neg.f64 y) x) z) z))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 x) (*.f64 (pow.f64 z #s(literal -2 binary64)) y)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 x z))
(*.f64 (*.f64 y x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y (*.f64 x z)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y z) x)
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (*.f64 y (*.f64 x z)) (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y (*.f64 x z)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 y (/.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x z) (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 1 binary64)))
(*.f64 (*.f64 x z) (*.f64 (pow.f64 z #s(literal -2 binary64)) y))
(*.f64 x (/.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 z (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) #s(literal 1 binary64)))
(*.f64 z (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 z x) y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z x) y) (/.f64 (/.f64 z x) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (*.f64 y (*.f64 x z)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) z) (/.f64 (*.f64 (neg.f64 y) x) z))) (/.f64 (*.f64 (neg.f64 y) x) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (neg.f64 y) x) z) (/.f64 (*.f64 (neg.f64 y) x) z) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) x) z)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) x))) (*.f64 (*.f64 (neg.f64 z) z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y x))) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) y) x))) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y (*.f64 x z)))) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 z) y) x)) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (neg.f64 z) y) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y (*.f64 x z))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x z))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 z) x) (*.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) x))
(/.f64 (*.f64 y x) z)
(/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 y (*.f64 x z)) (*.f64 z z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x z) (*.f64 (/.f64 z y) z))
(/.f64 x (/.f64 z y))
(/.f64 z (/.f64 (*.f64 (/.f64 z y) z) x))
(neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (/.f64 y z) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 y z) x))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 z) y) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 z) y))
(*.f64 (*.f64 y z) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 y z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 z) x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 z) y) x))
(*.f64 (*.f64 y x) z)
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal -1 binary64))
(*.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 x z) y)
(*.f64 x (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (*.f64 (neg.f64 z) y)))
(*.f64 x (/.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 x (*.f64 y z))
(*.f64 z (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 z (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 z (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) y) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))) (*.f64 y (*.f64 x z)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 z) y) x))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))))
(/.f64 (*.f64 y z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal -1 binary64))
(/.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64))
(/.f64 z (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 z) y) x))
(fma.f64 (neg.f64 (*.f64 (neg.f64 z) y)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(fma.f64 (*.f64 y z) (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y z) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y z) x #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) x) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) z #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y (*.f64 x z) #s(literal 0 binary64))
(fma.f64 (*.f64 x z) y #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 y z) #s(literal 0 binary64))
(fma.f64 z (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 z (/.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 z (*.f64 y x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) y) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
(+.f64 (*.f64 y (*.f64 x z)) #s(literal 0 binary64))
(*.f64 (neg.f64 x) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) x))
(*.f64 #s(literal 1 binary64) (*.f64 x z))
(*.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(*.f64 z (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 z x)
(/.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal -1 binary64)))
(/.f64 (*.f64 x z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(/.f64 (*.f64 z z) #s(literal 1 binary64))
(/.f64 z (pow.f64 z #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (pow.f64 z #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 z z #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 z))))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z z))
(+.f64 (*.f64 z z) #s(literal 0 binary64))

eval28.0ms (0.6%)

Memory
-12.7MiB live, 61.8MiB allocated
Compiler

Compiled 3 088 to 597 computations (80.7% saved)

prune7.0ms (0.2%)

Memory
22.5MiB live, 22.5MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2640264
Fresh000
Picked011
Done055
Total2646270
Accuracy
100.0%
Counts
270 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
94.6%
(/.f64 (*.f64 x y) z)
92.5%
(/.f64 x (/.f64 z y))
91.6%
(*.f64 (/.f64 y z) x)
90.4%
(*.f64 (/.f64 x z) y)
94.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
Compiler

Compiled 105 to 74 computations (29.5% saved)

regimes33.0ms (0.7%)

Memory
-24.7MiB live, 60.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 z x) y) (*.f64 z z))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (*.f64 (/.f64 x t) (pow.f64 z #s(literal -1 binary64))) (*.f64 t y))
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
Outputs
(*.f64 (/.f64 x z) y)
(/.f64 x (/.f64 z y))
Calls

7 calls:

7.0ms
(/.f64 (*.f64 (/.f64 y z) t) t)
6.0ms
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
6.0ms
x
3.0ms
(/.f64 y z)
3.0ms
t
Results
AccuracySegmentsBranch
97.9%2x
96.5%2y
99.8%2z
94.6%1t
99.7%2(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
99.8%2(/.f64 (*.f64 (/.f64 y z) t) t)
99.8%2(/.f64 y z)
Compiler

Compiled 23 to 36 computations (-56.5% saved)

regimes8.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
Outputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
Calls

4 calls:

2.0ms
z
2.0ms
(/.f64 y z)
2.0ms
(/.f64 (*.f64 (/.f64 y z) t) t)
2.0ms
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Results
AccuracySegmentsBranch
99.7%2(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
99.7%2(/.f64 (*.f64 (/.f64 y z) t) t)
99.7%2(/.f64 y z)
99.7%2z
Compiler

Compiled 20 to 24 computations (-20% saved)

regimes11.0ms (0.2%)

Memory
-6.5MiB live, 31.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
Outputs
(*.f64 (/.f64 x z) y)
Calls

7 calls:

3.0ms
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
1.0ms
t
1.0ms
z
1.0ms
y
1.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
90.4%1t
90.4%1y
90.4%1x
90.4%1(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
90.4%1(/.f64 (*.f64 (/.f64 y z) t) t)
90.4%1z
90.4%1(/.f64 y z)
Compiler

Compiled 23 to 36 computations (-56.5% saved)

bsearch15.0ms (0.3%)

Memory
-0.7MiB live, 37.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
4.8388658202101006e-17
1.0466716734973963e-10
Samples
8.0ms144×0valid
Compiler

Compiled 102 to 141 computations (-38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (61% of total)
ival-mult: 2.0ms (40.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.4%)

Memory
1.0MiB live, 42.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.6171283273230854e-31
3.5808265474055423e-25
Samples
12.0ms144×0valid
Compiler

Compiled 102 to 141 computations (-38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 6.0ms (74.2% of total)
ival-mult: 2.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify24.0ms (0.5%)

Memory
-0.5MiB live, 77.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01533
11733
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 4085202129641755/309485009821345068724781056 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 3920052866929211/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 z #s(literal 4085202129641755/309485009821345068724781056 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 4085202129641755/309485009821345068724781056 binary64)) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 3920052866929211/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 3920052866929211/174224571863520493293247799005065324265472 binary64)) (*.f64 y (/.f64 x z)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness188.0ms (4.1%)

Memory
-10.3MiB live, 192.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
01220
13516
219116
3145916
0589616
Stop Event
done
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 103 to 65 computations (36.9% saved)

preprocess521.0ms (11.5%)

Memory
1.6MiB live, 560.5MiB allocated
Remove

(abs t)

Compiler

Compiled 718 to 492 computations (31.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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