Details

Time bar (total: 5.7s)

analyze4.0ms (0.1%)

Algorithm
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)

sample940.0ms (16.6%)

Results
927.0ms8256×body256valid
1.0msbody256invalid
Bogosity

preprocess70.0ms (1.2%)

Algorithm
egg-herbie
Rules
1322×rational_best_oopsla_all_46_json_45_simplify-49
1048×rational_best_oopsla_all_46_json_45_simplify-89
882×rational_best_oopsla_all_46_json_45_simplify-74
858×rational_best_oopsla_all_46_json_45_simplify-37
736×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061
15361
219261
395361
4463461
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 (*.f64 3 (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 4 (*.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify72.0ms (1.3%)

Algorithm
egg-herbie
Rules
1322×rational_best_oopsla_all_46_json_45_simplify-49
1048×rational_best_oopsla_all_46_json_45_simplify-89
882×rational_best_oopsla_all_46_json_45_simplify-74
858×rational_best_oopsla_all_46_json_45_simplify-37
736×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061
15361
219261
395361
4463461
Stop Event
node limit
Counts
1 → 5
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 (*.f64 3 (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 4 (*.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))

eval2.0ms (0%)

Compiler

Compiled 101 to 72 computations (28.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Error
1.0b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.0b
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
Compiler

Compiled 42 to 34 computations (19% saved)

localize35.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
0.1b
(*.f64 v (*.f64 v 6))
1.0b
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
Compiler

Compiled 100 to 65 computations (35% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
1.0ms
v
@0
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
1.0ms
v
@0
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
1.0ms
v
@inf
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
1.0ms
v
@0
(*.f64 v (*.f64 v 6))

rewrite115.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1248×rational_best_oopsla_all_46_json_45_simplify-23
1106×rational_best_oopsla_all_46_json-2
1106×rational_best_oopsla_all_46_json-1
1106×rational_best_oopsla_all_46_json-4
1106×rational_best_oopsla_all_46_json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021150
1141150
2514150
32597150
47706150
Stop Event
node limit
Counts
4 → 87
Calls
Call 1
Inputs
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 v (*.f64 v 6))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
Outputs
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simplify112.0ms (2%)

Algorithm
egg-herbie
Rules
1252×rational_best_oopsla_all_46_json_45_simplify-37
868×rational_best_oopsla_all_46_json_45_simplify-89
844×rational_best_oopsla_all_46_json_45_simplify-49
788×rational_best_oopsla_all_46_json_45_simplify-13
762×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03547709
111217543
240457285
Stop Event
node limit
Counts
135 → 198
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (PI.f64)))
(+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (+.f64 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (neg.f64 (*.f64 v (*.f64 v (PI.f64)))) (PI.f64))
(-.f64 (PI.f64) (*.f64 v (*.f64 v (PI.f64))))
(-.f64 (PI.f64) (neg.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(-.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0)
(-.f64 0 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(-.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (neg.f64 (PI.f64)))
(-.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (-.f64 (*.f64 0 (neg.f64 (PI.f64))) (PI.f64)))
(-.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(-.f64 (*.f64 0 (+.f64 (*.f64 v v) -1)) (*.f64 (+.f64 (*.f64 v v) -1) (PI.f64)))
(-.f64 (neg.f64 (*.f64 v (*.f64 v (PI.f64)))) (neg.f64 (PI.f64)))
(-.f64 (-.f64 (*.f64 0 (*.f64 v v)) (neg.f64 (PI.f64))) (*.f64 v (*.f64 v (PI.f64))))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 v (*.f64 v (PI.f64))))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(-.f64 (+.f64 0 (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(-.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (*.f64 0 (neg.f64 (PI.f64)))) (neg.f64 (PI.f64)))
(-.f64 (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(-.f64 (+.f64 (*.f64 0 (+.f64 (*.f64 v v) -1)) (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 (+.f64 (*.f64 v v) -1) (PI.f64)))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 v (*.f64 v (PI.f64))))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(-.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (neg.f64 (PI.f64)))
(-.f64 (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(-.f64 (+.f64 (*.f64 0 (+.f64 (*.f64 v v) -1)) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (*.f64 v v) -1) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1)
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (+.f64 (*.f64 v v) -1) (+.f64 (*.f64 v v) -1)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 v v) -1)) (*.f64 (/.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 v v) -1))))
(/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) -1)
(neg.f64 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 (pow.f64 v 6) (*.f64 4/3 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (pow.f64 v 4))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)))))
(+.f64 (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))) (*.f64 4/3 (/.f64 (+.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))
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(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 3 v))))) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 3 v))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 3 v)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 v 3))))) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 v 3))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 v 3)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v))))) (/.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v))))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 3 v)))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 3 (*.f64 v (*.f64 v 3)))))
(neg.f64 (*.f64 -3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(neg.f64 (*.f64 (PI.f64) (*.f64 -3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (PI.f64) (neg.f64 (*.f64 v (*.f64 v (PI.f64)))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (PI.f64) (+.f64 0 (neg.f64 (*.f64 v (*.f64 v (PI.f64))))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (PI.f64) (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (neg.f64 (*.f64 v (*.f64 v (PI.f64))))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (PI.f64) (+.f64 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 v (*.f64 v (PI.f64))))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0)
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 0 (neg.f64 (PI.f64))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64)))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 0 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (PI.f64))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (+.f64 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(+.f64 (neg.f64 (*.f64 v (*.f64 v (PI.f64)))) (PI.f64))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (PI.f64) (*.f64 v (*.f64 v (PI.f64))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (PI.f64) (neg.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0)
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 0 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (neg.f64 (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (-.f64 (*.f64 0 (neg.f64 (PI.f64))) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (*.f64 0 (+.f64 (*.f64 v v) -1)) (*.f64 (+.f64 (*.f64 v v) -1) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (neg.f64 (*.f64 v (*.f64 v (PI.f64)))) (neg.f64 (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (-.f64 (*.f64 0 (*.f64 v v)) (neg.f64 (PI.f64))) (*.f64 v (*.f64 v (PI.f64))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 v (*.f64 v (PI.f64))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 0 (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (*.f64 0 (neg.f64 (PI.f64)))) (neg.f64 (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (*.f64 0 (+.f64 (*.f64 v v) -1)) (*.f64 0 (neg.f64 (PI.f64)))) (*.f64 (+.f64 (*.f64 v v) -1) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 v (*.f64 v (PI.f64))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (PI.f64) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (neg.f64 (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (*.f64 0 (neg.f64 (PI.f64))) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 (*.f64 0 (+.f64 (*.f64 v v) -1)) (*.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (*.f64 v v) -1) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1)
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (PI.f64) (PI.f64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (+.f64 (*.f64 v v) -1) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 v v) -1)) (*.f64 (/.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 v v) -1))))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (+.f64 -1 (*.f64 v v))) (*.f64 (/.f64 (PI.f64) (PI.f64)) (+.f64 -1 (*.f64 v v)))))
(/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) -1)
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))
(neg.f64 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.1b
(*.f64 v (*.f64 6 v))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Compiler

Compiled 89 to 59 computations (33.7% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@-inf
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@0
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))
0.0ms
v
@inf
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))

rewrite92.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1482×rational_best_oopsla_all_46_json_45_simplify-13
1270×rational_best_oopsla_all_46_json_45_simplify-23
1030×rational_best_oopsla_all_46_json-2
1030×rational_best_oopsla_all_46_json-1
1030×rational_best_oopsla_all_46_json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021156
1136156
2464156
32335156
Stop Event
node limit
Counts
4 → 180
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(*.f64 v (*.f64 6 v))
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))
Outputs
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simplify200.0ms (3.5%)

Algorithm
egg-herbie
Rules
966×rational_best_oopsla_all_46_json_45_simplify-10
966×rational_best_oopsla_all_46_json_45_simplify-37
952×rational_best_oopsla_all_46_json_45_simplify-30
842×rational_best_oopsla_all_46_json_45_simplify-13
778×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060318544
1228118262
2471318188
Stop Event
node limit
Counts
228 → 478
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(*.f64 6 (pow.f64 v 2))
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(*.f64 6 (pow.f64 v 2))
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(*.f64 6 (pow.f64 v 2))
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))
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(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64)))) (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64)))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (*.f64 3 (PI.f64)) (/.f64 (-.f64 1 (*.f64 v v)) (-.f64 1 (*.f64 v v)))) (*.f64 (*.f64 3 (PI.f64)) (/.f64 (-.f64 1 (*.f64 v v)) (-.f64 1 (*.f64 v v))))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (-.f64 3 (*.f64 3 (*.f64 v v)))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (*.f64 3 (PI.f64)) (/.f64 (-.f64 1 (*.f64 v v)) (*.f64 3 (PI.f64)))) (*.f64 (*.f64 3 (PI.f64)) (/.f64 (-.f64 1 (*.f64 v v)) (*.f64 3 (PI.f64))))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))) (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))))) (*.f64 (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))) (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64)))))))
(/.f64 (*.f64 (*.f64 3 (PI.f64)) (+.f64 (*.f64 v v) -1)) -1)
(neg.f64 (*.f64 (*.f64 3 (PI.f64)) (+.f64 (*.f64 v v) -1)))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 (pow.f64 v 4) (*.f64 4/3 (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))))
(+.f64 (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))) (+.f64 (*.f64 (pow.f64 v 4) (*.f64 4/3 (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)))))
(+.f64 (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (+.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)) (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7))))) (*.f64 4/3 (/.f64 (+.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9))))
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(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (+.f64 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))) (pow.f64 v 9)) (/.f64 (+.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))))
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(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))) (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))))) (*.f64 (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64))) (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (*.f64 3 (PI.f64)) (*.f64 3 (PI.f64)))))))
(/.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (*.f64 3 (PI.f64)) (+.f64 (*.f64 v v) -1)) -1)
(neg.f64 (*.f64 (*.f64 (PI.f64) 3) (+.f64 -1 (*.f64 v v))))
(neg.f64 (*.f64 (*.f64 3 (PI.f64)) (+.f64 (*.f64 v v) -1)))
(neg.f64 (*.f64 (*.f64 (PI.f64) 3) (+.f64 -1 (*.f64 v v))))

eval586.0ms (10.4%)

Compiler

Compiled 29881 to 21781 computations (27.1% saved)

prune149.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New6715676
Fresh000
Picked101
Done011
Total6726678
Error
0b
Counts
678 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
2.1b
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.0b
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.1b
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
1.0b
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
2.1b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Compiler

Compiled 167 to 141 computations (15.6% saved)

localize31.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.1b
(*.f64 v (*.f64 6 v))
0.1b
(*.f64 3 (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Compiler

Compiled 92 to 60 computations (34.8% saved)

series22.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
19.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@inf
(*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.0ms
v
@-inf
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@0
(*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))

rewrite71.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1400×rational_best_oopsla_all_46_json_45_simplify-23
1392×rational_best_oopsla_all_46_json_45_simplify-89
1198×rational_best_oopsla_all_46_json_45_simplify-74
1052×rational_best_oopsla_all_46_json-2
1052×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020129
1134129
2473129
32368129
Stop Event
node limit
Counts
3 → 60
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(*.f64 3 (*.f64 v v))
(*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
Outputs
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simplify172.0ms (3%)

Algorithm
egg-herbie
Rules
1434×rational_best_oopsla_all_46_json_45_simplify-37
948×rational_best_oopsla_all_46_json_45_simplify-89
946×rational_best_oopsla_all_46_json_45_simplify-13
824×rational_best_oopsla_all_46_json_45_simplify-7
822×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03469418
111949028
246449020
Stop Event
node limit
Counts
96 → 188
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (+.f64 (*.f64 3 (*.f64 v v)) -3) (+.f64 (*.f64 3 (*.f64 v v)) -3)))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (/.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (/.f64 (PI.f64) (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 3 (*.f64 v v)) -3))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))))) (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3))))) (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)) (*.f64 (PI.f64) (+.f64 (*.f64 3 (*.f64 v v)) -3)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 3 (*.f64 3 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 4 (pow.f64 v 2))))
(+.f64 (*.f64 4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2)))))
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 4 (pow.f64 v 2)))) (*.f64 (pow.f64 v 4) (*.f64 4 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (pow.f64 v 2)))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4 (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (pow.f64 v 2)) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (*.f64 4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (+.f64 (*.f64 4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2))))))
(+.f64 (+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 4 (pow.f64 v 2)))) (*.f64 (pow.f64 v 4) (*.f64 4 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (+.f64 (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3))) (*.f64 4 (pow.f64 v 6))) (*.f64 4 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (pow.f64 v 2))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 1/6 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 4 (pow.f64 v 6))) (*.f64 4 (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (pow.f64 v 2)) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 1/108 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 1/108 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 1/108 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 1/108 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 3 (*.f64 v (*.f64 v 3))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) (-.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite98.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1064×rational_best_oopsla_all_46_json_45_simplify-23
994×rational_best_oopsla_all_46_json_45_simplify-13
980×rational_best_oopsla_all_46_json_45_simplify-37
728×rational_best_oopsla_all_46_json-2
728×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
14213
29213
328913
4133213
5759113
Stop Event
node limit
Counts
1 → 56
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
Outputs
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simplify67.0ms (1.2%)

Algorithm
egg-herbie
Rules
1726×rational_best_oopsla_all_46_json_45_simplify-89
1412×rational_best_oopsla_all_46_json_45_simplify-74
1126×rational_best_oopsla_all_46_json_45_simplify-49
1010×rational_best_oopsla_all_46_json_45_simplify-24
990×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108728
1440728
22549728
Stop Event
node limit
Counts
56 → 57
Calls
Call 1
Inputs
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 0))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 0))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) 0))
(+.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(-.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)
(-.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
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(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)
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(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
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(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
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(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (neg.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
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(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 0 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) -1)
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 (/.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 -1 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
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(*.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
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(neg.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
Outputs
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 0))
(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (neg.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 0 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) -1)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 (/.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 -1 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(*.f64 3 (sqrt.f64 2))
1.0b
(*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))
1.0b
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
Compiler

Compiled 25 to 23 computations (8% saved)

series0.0ms (0%)

Counts
3 → 0

rewrite77.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1628×rational_best_oopsla_all_46_json-2
1628×rational_best_oopsla_all_46_json-1
1628×rational_best_oopsla_all_46_json-4
1628×rational_best_oopsla_all_46_json-3
796×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
17155
219655
380955
4359355
Stop Event
node limit
Counts
3 → 70
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
(*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))
Outputs
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simplify67.0ms (1.2%)

Algorithm
egg-herbie
Rules
1640×rational_best_oopsla_all_46_json_45_simplify-37
1096×rational_best_oopsla_all_46_json_45_simplify-13
852×rational_best_oopsla_all_46_json_45_simplify-72
642×rational_best_oopsla_all_46_json_45_simplify-49
616×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01402088
14722088
222582088
Stop Event
node limit
Counts
70 → 80
Calls
Call 1
Inputs
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(*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 3 (*.f64 (sqrt.f64 2) (/.f64 (PI.f64) (PI.f64))))) (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 3 (*.f64 (sqrt.f64 2) (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 3 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 (PI.f64) (PI.f64))))) (*.f64 3 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (sqrt.f64 2) (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))) (*.f64 3 (*.f64 (sqrt.f64 2) (*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (PI.f64) (/.f64 (*.f64 3 (sqrt.f64 2)) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 3 (sqrt.f64 2)))) (*.f64 (PI.f64) (/.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 3 (sqrt.f64 2))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6))) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) -3)))
(+.f64 (*.f64 3 (sqrt.f64 2)) 0)
(*.f64 3 (sqrt.f64 2))
(+.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 0 (*.f64 3 (/.f64 (sqrt.f64 2) (sqrt.f64 2)))))
(*.f64 3 (sqrt.f64 2))
(+.f64 0 (*.f64 3 (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))
(+.f64 (*.f64 0 (*.f64 3 (/.f64 (sqrt.f64 2) (sqrt.f64 2)))) (*.f64 3 (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))
(-.f64 (*.f64 3 (sqrt.f64 2)) 0)
(*.f64 3 (sqrt.f64 2))
(-.f64 0 (*.f64 (sqrt.f64 2) -3))
(neg.f64 (*.f64 (sqrt.f64 2) -3))
(/.f64 (*.f64 3 (sqrt.f64 2)) 1)
(*.f64 3 (sqrt.f64 2))
(/.f64 (*.f64 3 (sqrt.f64 2)) (/.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 3 (sqrt.f64 2))))
(/.f64 (*.f64 3 (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))
(/.f64 (*.f64 3 (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 3 (sqrt.f64 2))) (/.f64 (*.f64 3 (sqrt.f64 2)) (*.f64 3 (sqrt.f64 2)))))
(/.f64 (*.f64 3 (sqrt.f64 2)) (/.f64 (*.f64 3 (/.f64 (sqrt.f64 2) (sqrt.f64 2))) (*.f64 3 (/.f64 (sqrt.f64 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (sqrt.f64 2) -3) -1)
(neg.f64 (*.f64 (sqrt.f64 2) -3))
(neg.f64 (*.f64 (sqrt.f64 2) -3))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))
0.0b
(*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.1b
(*.f64 v (*.f64 6 v))
1.0b
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Compiler

Compiled 59 to 44 computations (25.4% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@inf
(*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.0ms
v
@0
(*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.0ms
v
@-inf
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))

rewrite118.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1080×rational_best_oopsla_all_46_json_45_simplify-35
802×rational_best_oopsla_all_46_json_45_simplify-23
792×rational_best_oopsla_all_46_json_45_simplify-89
720×rational_best_oopsla_all_46_json_45_simplify-13
704×rational_best_oopsla_all_46_json_45_simplify-37
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017103
1106103
2329103
31465103
46847103
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))
Outputs
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simplify138.0ms (2.4%)

Algorithm
egg-herbie
Rules
1350×rational_best_oopsla_all_46_json_45_simplify-49
1170×rational_best_oopsla_all_46_json_45_simplify-72
1032×rational_best_oopsla_all_46_json_45_simplify-7
898×rational_best_oopsla_all_46_json_45_simplify-89
766×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03938815
112278749
245528725
Stop Event
node limit
Counts
161 → 267
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 -6) v)
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(-.f64 0 (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3))))
(-.f64 0 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))) (*.f64 (PI.f64) -3)))
(-.f64 0 (*.f64 -1 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(-.f64 0 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (PI.f64) 3)))
(-.f64 (*.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3))))
(-.f64 (*.f64 0 (*.f64 (*.f64 (PI.f64) 3) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3)))) (*.f64 (*.f64 (*.f64 (PI.f64) 3) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3))) (*.f64 (PI.f64) -3)))
(-.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))))) (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (PI.f64) -3)))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 3 (/.f64 (PI.f64) (PI.f64))) (*.f64 3 (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (*.f64 (PI.f64) 3) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (*.f64 (PI.f64) 3) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (/.f64 (PI.f64) (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (*.f64 (PI.f64) 3) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3))) (*.f64 (*.f64 (PI.f64) 3) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)))
(neg.f64 (*.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3))))
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3))) (*.f64 (PI.f64) -3)))
(neg.f64 (*.f64 -1 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (PI.f64) 3) (*.f64 (PI.f64) 3)))) (*.f64 (PI.f64) 3)))
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)
(+.f64 0 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(-.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(*.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(*.f64 -1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (PI.f64))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (*.f64 1/27 (/.f64 1 (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))) (*.f64 1/27 (/.f64 1 (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))))
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(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 -1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.1b
(*.f64 v (*.f64 6 v))
0.2b
(*.f64 (PI.f64) (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Compiler

Compiled 92 to 47 computations (48.9% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
0.0ms
v
@inf
(*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.0ms
v
@0
(*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
0.0ms
v
@-inf
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))

rewrite93.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1290×rational_best_oopsla_all_46_json_45_simplify-13
1072×rational_best_oopsla_all_46_json_45_simplify-37
992×rational_best_oopsla_all_46_json_45_simplify-23
988×rational_best_oopsla_all_46_json-2
988×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020135
1135131
2467131
32226131
Stop Event
node limit
Counts
3 → 176
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(*.f64 (PI.f64) (*.f64 v v))
(*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))
Outputs
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simplify304.0ms (5.4%)

Algorithm
egg-herbie
Rules
1152×rational_best_oopsla_all_46_json_45_simplify-37
938×rational_best_oopsla_all_46_json_45_simplify-13
856×rational_best_oopsla_all_46_json_45_simplify-10
840×rational_best_oopsla_all_46_json_45_simplify-30
790×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057516696
1216216190
2436516070
Stop Event
node limit
Counts
212 → 341
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
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(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
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(*.f64 (pow.f64 v 2) (PI.f64))
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(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 (pow.f64 v 2) (PI.f64))
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))
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(*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
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(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (+.f64 (*.f64 v v) -1))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (+.f64 (*.f64 v v) -1)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (+.f64 (*.f64 v v) -1))) -6) (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (+.f64 (*.f64 v v) -1))) -6)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (+.f64 (*.f64 v v) -1))) -6) (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (+.f64 (*.f64 v v) -1))) -6))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3))))) (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)))) (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7)))))
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (+.f64 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (+.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))) (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v))))) (*.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)) (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v))))))) (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v))))) (*.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)) (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))) (/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)) (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v))))) (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v))))))) (*.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)) (*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v))))) (/.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)))) (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))) (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)))) (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 v v) -3) 3)) (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 -6 v) v) -2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 -3 (*.f64 v v)))) (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 v (*.f64 v -6)) -2)))))

eval1.4s (24.3%)

Compiler

Compiled 42297 to 31775 computations (24.9% saved)

prune245.0ms (4.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New109801098
Fresh000
Picked011
Done055
Total109861104
Error
0b
Counts
1104 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
2.1b
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.0b
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
1.1b
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
1.0b
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
2.1b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Compiler

Compiled 94 to 79 computations (16% saved)

regimes17.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 (*.f64 3 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Calls

4 calls:

6.0ms
v
3.0ms
(*.f64 v v)
2.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
2.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Results
ErrorSegmentsBranch
1.0b1v
1.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
1.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
1.0b1(*.f64 v v)
Compiler

Compiled 175 to 127 computations (27.4% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
Calls

1 calls:

4.0ms
v
Results
ErrorSegmentsBranch
1.0b1v
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-83.3%)

Threshold costs -1.0b (-83.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
Outputs
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
Calls

1 calls:

3.0ms
v
Results
ErrorSegmentsBranch
1.1b1v
Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039166
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 4 (*.f64 (*.f64 (PI.f64) (-.f64 3 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))
(/.f64 4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Compiler

Compiled 58 to 50 computations (13.8% saved)

soundness183.0ms (3.2%)

Algorithm
egg-herbie
Rules
1322×rational_best_oopsla_all_46_json_45_simplify-49
1048×rational_best_oopsla_all_46_json_45_simplify-89
966×rational_best_oopsla_all_46_json_45_simplify-10
966×rational_best_oopsla_all_46_json_45_simplify-37
952×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061
15361
219261
395361
4463461
060318544
1228118262
2471318188
Stop Event
node limit
node limit
Compiler

Compiled 146 to 107 computations (26.7% saved)

end61.0ms (1.1%)

Compiler

Compiled 55 to 43 computations (21.8% saved)

Profiling

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