Falkner and Boettcher, Equation (22+)

Time bar (total: 6.7s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 22 to 17 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (40.6% of total)
ival-pi: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)

sample1.3s (19.4%)

Results
917.0ms8256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 697.0ms
ival-mult: 306.0ms (43.9% of total)
ival-sqrt: 173.0ms (24.8% of total)
ival-sub: 87.0ms (12.5% of total)
ival-div: 58.0ms (8.3% of total)
ival-pi: 46.0ms (6.6% of total)
const: 23.0ms (3.3% of total)
backward-pass: 4.0ms (0.6% of total)
Bogosity

preprocess129.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
647×fma-define
594×times-frac
473×fma-neg
440×unsub-neg
428×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031292
191272
2210252
3706248
42204248
55036236
67676236
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))))))
(neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) (neg.f64 v))))))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) (neg.f64 v))))))))
(/.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
Symmetry

(abs v)

explain220.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
01(8.523385166573783e-163)0-(*.f64 #s(literal 6 binary64) (*.f64 v v))
00-0-(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
00-0-#s(literal 2 binary64)
00-0-v
00-0-#s(literal 6 binary64)
00-0-(*.f64 #s(literal 3 binary64) (PI.f64))
00-0-(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
00-0-(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
00-0-(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
00-0-#s(literal 4 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 v v)
Results
140.0ms512×256valid
Compiler

Compiled 195 to 122 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 57.0ms (55.9% of total)
ival-sub: 23.0ms (22.6% of total)
ival-sqrt: 12.0ms (11.8% of total)
const: 5.0ms (4.9% of total)
ival-div: 4.0ms (3.9% of total)
ival-pi: 2.0ms (2% of total)

eval1.0ms (0%)

Compiler

Compiled 89 to 59 computations (33.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Compiler

Compiled 19 to 14 computations (26.3% saved)

localize80.0ms (1.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓98.5%
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Results
58.0ms256×256valid
Compiler

Compiled 70 to 40 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 15.0ms (40.6% of total)
ival-div: 5.0ms (13.5% of total)
ival-sub: 5.0ms (13.5% of total)
ival-sqrt: 5.0ms (13.5% of total)
ival-add: 4.0ms (10.8% of total)
const: 2.0ms (5.4% of total)
ival-pi: 1.0ms (2.7% of total)

series15.0ms (0.2%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (*.f64 (*.f64 v v) #s(literal -6 binary64))>
#<alt (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))>
Outputs
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (PI.f64)>
#<alt (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))>
#<alt (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (*.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (*.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64))))>
Calls

12 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(/ (/ 4/3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
3.0ms
v
@inf
(/ 4/3 (* (PI) (- 1 (* v v))))
2.0ms
v
@0
(/ (/ 4/3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
v
@-inf
(/ (/ 4/3 (* (PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
v
@0
(/ 4/3 (* (PI) (- 1 (* v v))))

rewrite239.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
834×log1p-expm1-u
834×expm1-log1p-u
343×prod-diff
232×fma-define
213×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019131
1259127
23585127
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 4/3 binary64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -6 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -6 binary64))) #s(literal 1 binary64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))
(pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 4/3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify128.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
927×fma-define
908×times-frac
532×distribute-lft-in
181×associate-*r*
170×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03868333
19497718
235687625
Stop Event
1×node limit
Counts
159 → 237
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
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(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))
(PI.f64)
(+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
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(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))

eval103.0ms (1.6%)

Compiler

Compiled 6826 to 5433 computations (20.4% saved)

prune60.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2325237
Fresh000
Picked011
Done000
Total2326238
Accuracy
100.0%
Counts
238 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶98.6%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶97.0%
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
▶98.5%
(/.f64 (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
Compiler

Compiled 175 to 146 computations (16.6% saved)

localize422.0ms (6.3%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
✓100.0%
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓98.5%
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓99.7%
(*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))
99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓98.5%
(/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))))
✓100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓98.4%
(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓98.4%
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓100.0%
(pow.f64 v #s(literal 2 binary64))
✓100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓100.0%
(*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
✓100.0%
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
Results
296.0ms256×256valid
Compiler

Compiled 294 to 198 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-mult: 62.0ms (25.2% of total)
ival-pow: 49.0ms (19.9% of total)
<compiled-spec>: 29.0ms (11.8% of total)
ival-add: 25.0ms (10.2% of total)
ival-sqrt: 22.0ms (8.9% of total)
ival-div: 19.0ms (7.7% of total)
ival-exp: 9.0ms (3.7% of total)
const: 9.0ms (3.7% of total)
ival-sub: 8.0ms (3.2% of total)
ival-log: 8.0ms (3.2% of total)
ival-neg: 5.0ms (2% of total)
ival-pi: 1.0ms (0.4% of total)

series32.0ms (0.5%)

Counts
14 → 132
Calls
Call 1
Inputs
#<alt (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))>
#<alt (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))>
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))>
#<alt (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))))>
#<alt (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))>
#<alt (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))>
#<alt (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (PI.f64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))>
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#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (PI.f64)>
#<alt (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(* (neg (pow v 2)) (PI))
2.0ms
v
@inf
(/ -4/3 (* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (pow v 2) -6) 2))))
2.0ms
v
@-inf
(/ -4/3 (* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (pow v 2) -6) 2))))
2.0ms
v
@0
(/ -4/3 (* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (pow v 2) -6) 2))))
1.0ms
v
@inf
(* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (pow v 2) -6) 2)))

rewrite139.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
265×log1p-expm1-u
265×expm1-log1p-u
261×add-cube-cbrt
260×add-exp-log
259×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041425
1648393
Stop Event
1×node limit
Counts
14 → 469
Calls
Call 1
Inputs
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (neg.f64 (PI.f64)))
(+.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1 binary64)))
(+.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(neg.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))))
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
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(+.f64 (PI.f64) (*.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v (sqrt.f64 (PI.f64)))) (*.f64 v (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(+.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (fma.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (fma.f64 (neg.f64 (*.f64 v (sqrt.f64 (PI.f64)))) (*.f64 v (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (hypot.f64 #s(literal 1 binary64) v)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(log.f64 (/.f64 (exp.f64 (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log1p.f64 (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (PI.f64)) (log1p.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))) (PI.f64))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (*.f64 v (sqrt.f64 (PI.f64))) (*.f64 v (sqrt.f64 (PI.f64))) (PI.f64))

simplify264.0ms (4%)

Algorithm
1×egg-herbie
Rules
737×associate-*r*
509×fma-define
402×times-frac
394×distribute-rgt-in
392×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106530449
1279028642
Stop Event
1×node limit
Counts
601 → 640
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (PI.f64))
(+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
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(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (hypot.f64 #s(literal 1 binary64) v)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(log.f64 (/.f64 (exp.f64 (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log1p.f64 (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (PI.f64)) (log1p.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))) (PI.f64))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (*.f64 v (sqrt.f64 (PI.f64))) (*.f64 v (sqrt.f64 (PI.f64))) (PI.f64))
Outputs
(*.f64 #s(literal -1 binary64) (PI.f64))
(neg.f64 (PI.f64))
(+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (*.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (hypot.f64 #s(literal 1 binary64) v)) #s(literal 2 binary64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(log.f64 (/.f64 (exp.f64 (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log1p.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(exp.f64 (*.f64 (+.f64 (log.f64 (PI.f64)) (log1p.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64) (PI.f64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))) (PI.f64))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))
(fma.f64 (*.f64 v (sqrt.f64 (PI.f64))) (*.f64 v (sqrt.f64 (PI.f64))) (PI.f64))
(fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))

eval367.0ms (5.5%)

Compiler

Compiled 24563 to 19625 computations (20.1% saved)

prune505.0ms (7.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New9766982
Fresh000
Picked415
Done011
Total9808988
Accuracy
100.0%
Counts
988 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓98.6%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶98.5%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
▶98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶97.0%
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
98.5%
(/.f64 (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Compiler

Compiled 202 to 161 computations (20.3% saved)

localize266.0ms (4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓99.7%
(*.f64 (neg.f64 (*.f64 v v)) (PI.f64))
99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓98.5%
(/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64))))
100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
✓100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
98.4%
(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓98.4%
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
✓100.0%
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
✓100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓100.0%
(*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
100.0%
(*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))
Results
172.0ms256×256valid
Compiler

Compiled 212 to 113 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 46.0ms (32.6% of total)
<compiled-spec>: 26.0ms (18.4% of total)
ival-sqrt: 22.0ms (15.6% of total)
ival-div: 20.0ms (14.2% of total)
ival-add: 19.0ms (13.5% of total)
const: 6.0ms (4.3% of total)
ival-pi: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)

series26.0ms (0.4%)

Counts
8 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))>
#<alt (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))>
#<alt (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64))))>
#<alt (*.f64 (neg.f64 (*.f64 v v)) (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))>
#<alt (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))>
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Calls

21 calls:

TimeVariablePointExpression
11.0ms
v
@-inf
(* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (* v v) -6) 2)))
1.0ms
v
@inf
(/ (/ 4/3 (+ (PI) (* (neg (* v v)) (PI)))) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
v
@-inf
(/ -4/3 (* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (* v v) -6) 2))))
1.0ms
v
@inf
(/ -4/3 (* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (* v v) -6) 2))))
1.0ms
v
@0
(/ -4/3 (* (* (PI) (+ (* v v) -1)) (sqrt (+ (* (* v v) -6) 2))))

rewrite229.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
653×log1p-expm1-u
220×add-cube-cbrt
220×expm1-log1p-u
219×associate-*r*
218×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036291
1537273
27391273
Stop Event
1×node limit
Counts
8 → 261
Calls
Call 1
Inputs
(*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64))))
(*.f64 (neg.f64 (*.f64 v v)) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))))
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify350.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
394×associate-*r*
391×*-commutative
390×fma-define
359×associate-*l*
302×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078720835
1213519341
2794219333
Stop Event
1×node limit
Counts
345 → 444
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal -4/3 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))))))
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal -4/3 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))))))))
(*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
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(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))))
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))))
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(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 64/27 binary64) (pow.f64 (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)) (PI.f64))))

eval317.0ms (4.8%)

Compiler

Compiled 17620 to 13830 computations (21.5% saved)

prune111.0ms (1.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New6940694
Fresh011
Picked055
Done022
Total6948702
Accuracy
100.0%
Counts
702 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓98.6%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓98.5%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓97.0%
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
▶98.5%
(/.f64 (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Compiler

Compiled 117 to 93 computations (20.5% saved)

localize125.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓100.0%
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
98.5%
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Results
95.0ms256×256valid
Compiler

Compiled 93 to 55 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 23.0ms (30.7% of total)
ival-exp: 14.0ms (18.7% of total)
ival-div: 10.0ms (13.4% of total)
ival-sub: 8.0ms (10.7% of total)
ival-log: 8.0ms (10.7% of total)
ival-add: 4.0ms (5.3% of total)
ival-sqrt: 4.0ms (5.3% of total)
const: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.3% of total)

series9.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))>
Outputs
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
v
@inf
(log (exp (/ 4/3 (* (PI) (- 1 (* v v))))))
0.0ms
v
@-inf
(log (exp (/ 4/3 (* (PI) (- 1 (* v v))))))
0.0ms
v
@0
(log (exp (/ 4/3 (* (PI) (- 1 (* v v))))))

rewrite101.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
765×log1p-expm1-u
765×expm1-log1p-u
661×unpow-prod-down
396×log-prod
156×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01530
117630
2214930
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
Outputs
(+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 4/3 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (neg.f64 (*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))

simplify93.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
810×times-frac
336×distribute-lft-out
244×cube-prod
231×distribute-lft-neg-out
220×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02434143
15704112
223514053
Stop Event
1×node limit
Counts
93 → 133
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
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(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 0 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
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(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 3 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))

eval111.0ms (1.7%)

Compiler

Compiled 6871 to 5202 computations (24.3% saved)

prune40.0ms (0.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2590259
Fresh000
Picked011
Done077
Total2598267
Accuracy
100.0%
Counts
267 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓98.6%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓98.5%
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓97.0%
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
✓98.5%
(/.f64 (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
Compiler

Compiled 308 to 225 computations (26.9% saved)

regimes9.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 v v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Calls

4 calls:

4.0ms
v
2.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
100.0%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
100.0%1(*.f64 v v)
Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Calls

2 calls:

2.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Calls

2 calls:

2.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
98.5%1v
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
Outputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
97.0%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative
4×+-commutative
3×sub-neg
3×1-exp
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030191
144191
251191
355191
457191
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))

soundness797.0ms (12%)

Rules
927×fma-define
908×times-frac
737×associate-*r*
647×fma-define
594×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
03868333
19497718
235687625
031292
191272
2210252
3706248
42204248
55036236
67676236
0106530449
1279028642
041425
1648393
Stop Event
1×done
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 533 to 383 computations (28.1% saved)

preprocess49.0ms (0.7%)

Remove

(abs v)

Compiler

Compiled 304 to 224 computations (26.3% saved)

end0.0ms (0%)

Profiling

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