Data.Colour.CIE:cieLABView from colour-2.3.3, A

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.3s (29.9%)

Memory
-3.4MiB live, 946.8MiB allocated
Samples
639.0ms8 249×0valid
2.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 340.0ms
ival-div: 168.0ms (49.4% of total)
ival-add: 100.0ms (29.4% of total)
ival-mult: 50.0ms (14.7% of total)
exact: 13.0ms (3.8% of total)
ival-true: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain82.0ms (1.9%)

Memory
12.4MiB live, 174.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 108 binary64)
00-0-(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
00-0-#s(literal 841 binary64)
00-0-(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
00-0-(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
00-0-#s(literal 29 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms510×0valid
1.0ms5exit
Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 9.0ms (56.5% of total)
ival-mult: 3.0ms (18.8% of total)
ival-add: 2.0ms (12.6% of total)
exact: 1.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory
-10.0MiB live, 28.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12710
25810
310310
414010
515310
616110
095
0155
1175
0174
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
cost-diff128
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
cost-diff704
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
cost-diff704
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
01515
11715
01714
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4 binary64)
#s(literal 29 binary64)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841/108 binary64)
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4/29 binary64)
#s(literal 4 binary64)
#s(literal 29 binary64)

localize24.0ms (0.6%)

Memory
1.8MiB live, 44.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy0.0
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy0.00390625
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy0.15625
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
18.0ms255×0valid
0.0ms5exit
Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.9% of total)
ival-mult: 2.0ms (28% of total)
ival-add: 1.0ms (14% 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)

series2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms
x
@-inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms
x
@0
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

simplify4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
12414
23714
34914
44914
56414
67014
77414
87414
07412
Stop Event
iter limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))

rewrite180.0ms (4.1%)

Memory
5.5MiB live, 233.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
01510
13210
215710
3121910
083809
Stop Event
iter limit
node limit
iter limit
Counts
4 → 221
Calls
Call 1
Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 210457284365172120330305161/1999004627104432128 binary64) #s(literal 262144/14507145975869 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 210457284365172120330305161/1999004627104432128 binary64) #s(literal 262144/14507145975869 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))

eval26.0ms (0.6%)

Memory
3.7MiB live, 41.4MiB allocated
Compiler

Compiled 5 562 to 654 computations (88.2% saved)

prune137.0ms (3.1%)

Memory
-35.3MiB live, 23.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2177224
Fresh000
Picked101
Done000
Total2187225
Accuracy
100.0%
Counts
225 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
63.9%
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
72.5%
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
72.5%
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
99.8%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
51.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 152 to 132 computations (13.2% saved)

simplify61.0ms (1.4%)

Memory
5.4MiB live, 42.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff128
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
cost-diff0
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030102
04596
16796
29196
312096
414296
523396
636796
758696
8107396
9143496
10155596
11167096
12170196
13171396
14171696
0171695
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(literal -16/841 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal -16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(literal -16/841 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal -16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)

localize127.0ms (2.9%)

Memory
15.4MiB live, 173.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
accuracy0.06640625
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.2085000922478051
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy17.541950880309106
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0.06640625
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy0.07421875
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy0.16015625
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy17.541950880309106
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy0.06640625
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
accuracy0.15625
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
accuracy0.3521688200108014
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
accuracy31.012555361443393
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy0.06640625
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Samples
107.0ms255×0valid
1.0ms1valid
Compiler

Compiled 222 to 64 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
const: 60.0ms (65.8% of total)
ival-mult: 14.0ms (15.4% of total)
ival-div: 10.0ms (11% of total)
ival-add: 5.0ms (5.5% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-19.4MiB live, 16.9MiB allocated
Counts
13 → 33
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
Outputs
4/29
(+ 4/29 (* 841/108 x))
-29/4
(- (* 707281/1728 x) 29/4)
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(pow x 2)
(+ 4/29 (* -841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ -108/841 x)
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* -841/108 x) 4/29))
2.0ms
x
@0
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* -841/108 x) 4/29))
2.0ms
x
@-inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* -841/108 x) 4/29))

simplify230.0ms (5.3%)

Memory
3.0MiB live, 125.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097203
1256195
2553195
31147191
42653191
55130191
66989191
08049173
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
-29/4
(- (* 707281/1728 x) 29/4)
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(pow x 2)
(+ 4/29 (* -841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ -108/841 x)
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
-29/4
#s(literal -29/4 binary64)
(- (* 707281/1728 x) 29/4)
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal -17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))

rewrite349.0ms (8%)

Memory
-12.5MiB live, 318.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03080
04560
116760
2109460
0989259
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 885
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
Outputs
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 841/729 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))
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(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))))
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(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 #s(literal 841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))))) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (neg.f64 x) #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (neg.f64 x) #s(literal 4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal -256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(+.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))

eval163.0ms (3.7%)

Memory
42.4MiB live, 266.2MiB allocated
Compiler

Compiled 32 706 to 3 195 computations (90.2% saved)

prune24.0ms (0.5%)

Memory
-12.5MiB live, 74.1MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1 26141 265
Fresh202
Picked325
Done000
Total1 26661 272
Accuracy
100.0%
Counts
1 272 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
23.1%
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
51.3%
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
50.6%
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
51.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
50.8%
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 69 to 62 computations (10.1% saved)

simplify7.0ms (0.2%)

Memory
-26.1MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
cost-diff0
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff0
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
cost-diff0
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
cost-diff0
(/.f64 #s(literal -108/841 binary64) x)
cost-diff0
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029125
039125
150125
050118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(literal -1 binary64)
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
#s(literal -1 binary64)
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
#s(literal 707281/1728 binary64)
x
#s(literal -29/4 binary64)
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
Outputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(literal -1 binary64)
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
#s(literal -1 binary64)
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
#s(literal 707281/1728 binary64)
x
#s(literal -29/4 binary64)
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)

localize199.0ms (4.6%)

Memory
16.1MiB live, 97.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy0.2085000922478051
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
accuracy17.541950880309106
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy31.606383510091973
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))
accuracy0.15234375
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
accuracy0.15234375
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
accuracy30.958674948609303
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
accuracy0.15234375
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
accuracy0.30078125
(/.f64 #s(literal -108/841 binary64) x)
accuracy31.622931966371713
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
accuracy0.15625
(*.f64 #s(literal 841/108 binary64) x)
accuracy31.433659996616843
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Samples
181.0ms255×0valid
1.0ms5exit
Compiler

Compiled 221 to 59 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
const: 21.0ms (48.2% of total)
ival-mult: 11.0ms (25.2% of total)
ival-div: 7.0ms (16.1% of total)
ival-add: 4.0ms (9.2% 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)

series5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
13 → 27
Calls
Call 1
Inputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
-29/4
(- (* 707281/1728 x) 29/4)
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(/ -108/841 x)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(pow x 2)
-4/29
(- (* 841/108 x) 4/29)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(* 707281/1728 x)
(* x (- 707281/1728 (* 29/4 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(* -1 (* x (- (* 29/4 (/ 1 x)) 707281/1728)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (* x 841/108) 4/29) (* 841/108 x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (+ (* 707281/1728 x) -29/4) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x 841/108) -4/29))
2.0ms
x
@inf
((+ (* x 841/108) 4/29) (* 841/108 x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (+ (* 707281/1728 x) -29/4) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x 841/108) -4/29))
1.0ms
x
@0
((+ (* x 841/108) 4/29) (* 841/108 x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (+ (* 707281/1728 x) -29/4) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x 841/108) -4/29))

simplify145.0ms (3.3%)

Memory
6.5MiB live, 119.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093175
1257167
2568167
31182163
42619163
55088163
66743163
08031148
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
-29/4
(- (* 707281/1728 x) 29/4)
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(/ -108/841 x)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(pow x 2)
-4/29
(- (* 841/108 x) 4/29)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(* 707281/1728 x)
(* x (- 707281/1728 (* 29/4 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(* -1 (* x (- (* 29/4 (/ 1 x)) 707281/1728)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
-29/4
#s(literal -29/4 binary64)
(- (* 707281/1728 x) 29/4)
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal -17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(pow x 2)
(*.f64 x x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(* 707281/1728 x)
(*.f64 #s(literal 707281/1728 binary64) x)
(* x (- 707281/1728 (* 29/4 (/ 1 x))))
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(* -1 (* x (- (* 29/4 (/ 1 x)) 707281/1728)))
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))

rewrite185.0ms (4.2%)

Memory
-25.2MiB live, 228.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029112
039112
1140112
2783112
36660112
08356105
Stop Event
iter limit
node limit
iter limit
Counts
13 → 374
Calls
Call 1
Inputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
Outputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 (neg.f64 x) #s(literal -841/108 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal -108/841 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -108/841 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 x #s(literal 108/841 binary64))
(neg.f64 (*.f64 #s(literal -841/108 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 (pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(neg.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(*.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))
(pow.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))
(neg.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))
(*.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 108/841 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -108/841 binary64))
(*.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 (/.f64 #s(literal -108/841 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -108/841 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -841/108 binary64))
(/.f64 #s(literal 108/841 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -841/108 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 841/108 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -841/108 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x)))
(neg.f64 (/.f64 #s(literal 108/841 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -841/108 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
(neg.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
(*.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))))
(pow.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
(/.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal -1 binary64)))
(/.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))))
(neg.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x) #s(literal -841/16 binary64)) (fma.f64 #s(literal 353814783205469041/5159780352 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 24389/64 binary64))) (fma.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x) (fma.f64 #s(literal -20511149/6912 binary64) x #s(literal 841/16 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/5159780352 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/64 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 707281/1728 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 20511149/6912 binary64) #s(literal 841/16 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x) #s(literal -841/16 binary64)) (*.f64 x #s(literal 20511149/6912 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/5159780352 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/64 binary64)) (fma.f64 #s(literal 125184900814733057351483732809459681/26623333280885243904 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 20511149/6912 binary64) #s(literal 841/16 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 250246473680347348787521/8916100448256 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 20511149/6912 binary64) #s(literal 841/16 binary64)) (-.f64 (fma.f64 x #s(literal 20511149/6912 binary64) #s(literal 841/16 binary64)) (*.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x) #s(literal -841/16 binary64)) (fma.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x) #s(literal -841/16 binary64))) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)))
(*.f64 (-.f64 #s(literal 841/16 binary64) (*.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -29/4 binary64) (*.f64 #s(literal 707281/1728 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 500246412961/2985984 binary64) (*.f64 x x) #s(literal -841/16 binary64)))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 841/108 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 841/108 binary64) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 707281/11664 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 707281/11664 binary64) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 #s(literal 841/108 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 #s(literal 841/108 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (/.f64 #s(literal 841/108 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -841/108 binary64) x) #s(literal -4/29 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 500246412961/136048896 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal -256/707281 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))

eval159.0ms (3.6%)

Memory
24.0MiB live, 62.2MiB allocated
Compiler

Compiled 10 741 to 1 284 computations (88% saved)

prune11.0ms (0.3%)

Memory
-16.2MiB live, 20.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3911392
Fresh000
Picked224
Done022
Total3935398
Accuracy
100.0%
Counts
398 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
51.3%
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
51.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
50.7%
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
50.8%
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify4.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 108/841 binary64))
cost-diff0
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
0914
11114
01113
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
(/.f64 x #s(literal 108/841 binary64))
x
#s(literal 108/841 binary64)
Outputs
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
(/.f64 x #s(literal 108/841 binary64))
x
#s(literal 108/841 binary64)

localize51.0ms (1.2%)

Memory
-18.8MiB live, 26.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.3046875
(/.f64 x #s(literal 108/841 binary64))
accuracy31.433659996616843
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
Samples
45.0ms255×0valid
0.0ms5exit
Compiler

Compiled 26 to 17 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
const: 34.0ms (85.3% of total)
ival-div: 2.0ms (5% of total)
ival-mult: 2.0ms (5% of total)
ival-add: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Counts
2 → 4
Calls
Call 1
Inputs
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
(/.f64 x #s(literal 108/841 binary64))
Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((+ (* x 841/108) 4/29) (/ x 108/841))
0.0ms
x
@inf
((+ (* x 841/108) 4/29) (/ x 108/841))
0.0ms
x
@0
((+ (* x 841/108) 4/29) (/ x 108/841))

simplify4.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
12414
23714
34914
44914
56414
67014
77414
87414
07412
Stop Event
iter limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))

rewrite304.0ms (7%)

Memory
14.7MiB live, 121.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
0912
13512
223512
3349412
0814911
Stop Event
iter limit
node limit
iter limit
Counts
2 → 41
Calls
Call 1
Inputs
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
(/.f64 x #s(literal 108/841 binary64))
Outputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 #s(literal -841/108 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -841/108 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -841/108 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 #s(literal -841/108 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -841/108 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -841/108 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 (neg.f64 x) #s(literal -841/108 binary64))
(*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) (pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 108/841 binary64) x)))
(pow.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -108/841 binary64) x))))
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 108/841 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 #s(literal -108/841 binary64))))
(/.f64 #s(literal -841/108 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 (neg.f64 x) #s(literal -108/841 binary64))
(/.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 108/841 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -841/108 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -841/108 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))

eval5.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Compiler

Compiled 525 to 140 computations (73.3% saved)

prune7.0ms (0.2%)

Memory
-40.2MiB live, 11.7MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New44044
Fresh000
Picked011
Done044
Total44549
Accuracy
100.0%
Counts
49 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
51.3%
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
51.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
50.7%
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
50.8%
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 195 to 124 computations (36.4% saved)

regimes31.0ms (0.7%)

Memory
4.2MiB live, 43.2MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) (/.f64 x #s(literal 108/841 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

5.0ms
x
4.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.9%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Outputs
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Calls

3 calls:

1.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
99.1%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.1%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
51.5%1x
51.5%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
51.5%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.815386223351805e-8
28618973.185161304
0.0ms
-77963775304739200.0
-0.0009176466309133458
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify25.0ms (0.6%)

Memory
15.3MiB live, 54.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02552
12752
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -50000000000000000 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -50000000000000000 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

soundness421.0ms (9.6%)

Memory
-0.7MiB live, 188.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097203
1256195
2553195
31147191
42653191
55130191
66989191
08049173
0910
01510
13210
215710
3121910
083809
01014
12414
23714
34914
44914
56414
67014
77414
87414
07412
Stop Event
done
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 119 to 64 computations (46.2% saved)

preprocess61.0ms (1.4%)

Memory
-0.5MiB live, 88.3MiB allocated
Compiler

Compiled 138 to 76 computations (44.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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