Details

Time bar (total: 17.2s)

analyze444.0ms (2.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%74.9%0.1%0%25%0%5
0%0%74.9%0.1%0%25%0%6
0%0%74.9%0.1%0%25%0%7
10%6.2%56.2%0.1%0%37.4%0%8
12.8%7.8%53%0.1%1.6%37.4%0%9
16.6%9.4%47.2%0.1%5.9%37.4%0%10
30.6%15.2%34.5%0.1%6.4%43.7%0%11
36.1%17.6%31.1%0.1%7.5%43.7%0%12
Compiler

Compiled 28 to 21 computations (25% saved)

sample3.0s (17.2%)

Results
2.2s8256×body256valid
417.0ms2014×body256infinite
372.0ms1539×body256invalid
Bogosity

preprocess93.0ms (0.5%)

Algorithm
egg-herbie
Rules
1796×rational_best_oopsla_all_46_json_45_simplify-89
1356×rational_best_oopsla_all_46_json_45_simplify-74
1228×rational_best_oopsla_all_46_json_45_simplify-24
1206×rational_best_oopsla_all_46_json_45_simplify-10
518×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053284
1121284
2440284
31731284
47252284
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) 91893853320467/100000000000000))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 x 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) y))
(+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 x 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) y) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 x 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) y)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 x (-.f64 (*.f64 x (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) z))
(+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 x (-.f64 (*.f64 x (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) z) 91893853320467/100000000000000))
(+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 x (-.f64 (*.f64 x (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) z)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (-.f64 (*.f64 y (+.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000))) x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (-.f64 (*.f64 y (+.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000))) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
1272×rational_best_oopsla_all_46_json_45_simplify-37
1188×rational_best_oopsla_all_46_json_45_simplify-23
742×rational_best_oopsla_all_46_json_45_simplify-49
596×rational_best_oopsla_all_46_json_45_simplify-13
502×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
14271
213371
351371
4243871
Stop Event
node limit
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))

eval2.0ms (0%)

Compiler

Compiled 99 to 68 computations (31.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New224
Fresh101
Picked000
Done000
Total325
Error
7.6b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
7.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
7.6b
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize105.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.3b
(+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
7.0b
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
Compiler

Compiled 107 to 71 computations (33.6% saved)

series18.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
3.0ms
y
@inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
2.0ms
x
@-inf
(+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
1.0ms
x
@inf
(+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)

rewrite85.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1070×rational_best_oopsla_all_46_json_45_simplify-37
1062×rational_best_oopsla_all_46_json_45_simplify-13
926×rational_best_oopsla_all_46_json-2
926×rational_best_oopsla_all_46_json-1
926×rational_best_oopsla_all_46_json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02296
113896
243596
3200896
Stop Event
node limit
Counts
4 → 174
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
(+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
(*.f64 (-.f64 x 1/2) (log.f64 x))
(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) 0))))) (#(struct:change #<rule 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(*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 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simplify173.0ms (1%)

Algorithm
egg-herbie
Rules
1414×rational_best_oopsla_all_46_json_45_simplify-89
1278×rational_best_oopsla_all_46_json_45_simplify-7
1182×rational_best_oopsla_all_46_json_45_simplify-24
1102×rational_best_oopsla_all_46_json_45_simplify-74
864×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04568490
117168130
268138130
Stop Event
node limit
Counts
258 → 284
Calls
Call 1
Inputs
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(*.f64 7936500793651/10000000000000000 z)
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Outputs
(/.f64 83333333333333/1000000000000000 x)
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(+.f64 (*.f64 y (*.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000))))) (*.f64 (*.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)))) 7936500793651/10000000000000000))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
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(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 0)
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z z)) 0))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 (*.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)))) 0))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
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(*.f64 z (+.f64 y 7936500793651/10000000000000000))
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(-.f64 0 (*.f64 z (neg.f64 (+.f64 y 7936500793651/10000000000000000))))
(neg.f64 (*.f64 z (neg.f64 (+.f64 y 7936500793651/10000000000000000))))
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(neg.f64 (*.f64 z (*.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (neg.f64 (+.f64 y 7936500793651/10000000000000000)))))
(neg.f64 (-.f64 (*.f64 0 (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(-.f64 0 (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (*.f64 z (neg.f64 (+.f64 y 7936500793651/10000000000000000)))))
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(neg.f64 (*.f64 z (neg.f64 (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1)
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 z z))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000))))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000))) (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z z)) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z z))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)))) (*.f64 (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000))))))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000))) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (neg.f64 (neg.f64 (+.f64 y 7936500793651/10000000000000000))) (neg.f64 (neg.f64 (+.f64 y 7936500793651/10000000000000000)))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 (neg.f64 (+.f64 y 7936500793651/10000000000000000)) (neg.f64 (+.f64 y 7936500793651/10000000000000000))))

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0b
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
Compiler

Compiled 117 to 78 computations (33.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.0ms
x
@-inf
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.0ms
x
@inf
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)

rewrite70.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1822×rational_best_oopsla_all_46_json-2
1822×rational_best_oopsla_all_46_json-1
1822×rational_best_oopsla_all_46_json-4
1822×rational_best_oopsla_all_46_json-3
1240×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
15223
215723
369223
4363623
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 0 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (neg.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (*.f64 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x -1/2) (log.f64 x)) x) (*.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))))

simplify125.0ms (0.7%)

Algorithm
egg-herbie
Rules
1554×rational_best_oopsla_all_46_json_45_simplify-13
1320×rational_best_oopsla_all_46_json_45_simplify-87
978×rational_best_oopsla_all_46_json_45_simplify-37
526×rational_best_oopsla_all_46_json_45_simplify-10
498×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0962932
13732862
218102686
376872686
Stop Event
node limit
Counts
48 → 66
Calls
Call 1
Inputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 1 (neg.f64 x)))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 0)
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 0 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(+.f64 0 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 1 (neg.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (neg.f64 x)))
(+.f64 (*.f64 0 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 1)
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(*.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(*.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) -1)
(*.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))
(*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))))
(*.f64 -1 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
(*.f64 -1 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 1 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(*.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(*.f64 (neg.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 1)
(/.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (/.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) -1)
(neg.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
Outputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) -1))
(*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) -1)) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) -1)) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) -1)) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (*.f64 (log.f64 (/.f64 1 x)) 1/2))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (+.f64 1 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (neg.f64 x))
(*.f64 x (+.f64 -1 (neg.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 x (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 1 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (neg.f64 x)) (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 x (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 1 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (neg.f64 x)) (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 x (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 1 (neg.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 0)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (*.f64 0 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 0 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (*.f64 1 (neg.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x)))
(*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(+.f64 (*.f64 0 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x)))
(*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) (/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))))
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(/.f64 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))) -1)
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eval340.0ms (2%)

Compiler

Compiled 22099 to 14862 computations (32.7% saved)

prune139.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New56016576
Fresh000
Picked101
Done101
Total56216578
Error
4.2b
Counts
578 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
7.6b
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 1/2 (log.f64 x))) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
7.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
10.4b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
10.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
26.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
30.0b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
12.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
7.6b
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26.4b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
8.6b
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12.9b
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7.6b
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7.6b
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12.8b
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
37.2b
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
8.2b
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
Compiler

Compiled 924 to 686 computations (25.8% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.4b
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
5.4b
(*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000))
11.4b
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
Compiler

Compiled 157 to 102 computations (35% saved)

series214.0ms (1.2%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
203.0ms
z
@-inf
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
4.0ms
x
@0
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
1.0ms
z
@0
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
1.0ms
x
@0
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
0.0ms
x
@inf
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)

rewrite267.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
810×rational_best_oopsla_all_46_json_45_simplify-35
718×rational_best_oopsla_all_46_json_45_simplify-108
626×rational_best_oopsla_all_46_json_45_simplify-80
550×rational_best_oopsla_all_46_json_45_simplify-3
498×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01870
110470
226770
3103670
4452170
5788970
Stop Event
node limit
Counts
4 → 182
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
(*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000))
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
Outputs
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simplify188.0ms (1.1%)

Algorithm
egg-herbie
Rules
1242×rational_best_oopsla_all_46_json_45_simplify-37
884×rational_best_oopsla_all_46_json_45_simplify-13
880×rational_best_oopsla_all_46_json_45_simplify-49
866×rational_best_oopsla_all_46_json_45_simplify-72
646×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03446524
19926524
234336524
Stop Event
node limit
Counts
254 → 206
Calls
Call 1
Inputs
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(+.f64 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 0 (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x)))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(-.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(-.f64 0 (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(-.f64 0 (*.f64 1 (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 0 (*.f64 -1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(-.f64 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (*.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 (-.f64 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 0) (*.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 0) (*.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (*.f64 1 (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (*.f64 -1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (*.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x))))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x))))) (*.f64 1 (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(-.f64 (+.f64 0 (*.f64 0 (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x))))) (*.f64 -1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(-.f64 (+.f64 (*.f64 0 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (*.f64 0 (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x))))) (*.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x))) (*.f64 -13888888888889/5000000000000000 (/.f64 (/.f64 z x) (/.f64 z x)))))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000) -1)
(neg.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(neg.f64 (*.f64 1 (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(neg.f64 (*.f64 -1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
Outputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
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(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (*.f64 (pow.f64 z 2) y) x))
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 (pow.f64 z 2) y) x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(/.f64 83333333333333/1000000000000000 x)
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(/.f64 83333333333333/1000000000000000 x)
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(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) 0)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(-.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) 0)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) 1)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(/.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000) -1)
(neg.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(neg.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(neg.f64 (*.f64 1 (*.f64 (/.f64 z x) 13888888888889/5000000000000000)))
(neg.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000))
(neg.f64 (*.f64 -1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(neg.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.3b
(+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 48 to 31 computations (35.4% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
0.0ms
x
@-inf
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
0.0ms
x
@inf
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
0.0ms
x
@0
(/.f64 83333333333333/1000000000000000 x)
0.0ms
x
@inf
(/.f64 83333333333333/1000000000000000 x)

rewrite196.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
970×rational_best_oopsla_all_46_json_45_simplify-7
760×rational_best_oopsla_all_46_json_45_simplify-35
590×rational_best_oopsla_all_46_json_45_simplify-36
540×rational_best_oopsla_all_46_json_45_simplify-93
524×rational_best_oopsla_all_46_json_45_simplify-80
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
18148
221748
388548
4451148
5778348
Stop Event
node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Outputs
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simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
1566×rational_best_oopsla_all_46_json_45_simplify-36
1198×rational_best_oopsla_all_46_json_45_simplify-49
848×rational_best_oopsla_all_46_json_45_simplify-35
724×rational_best_oopsla_all_46_json_45_simplify-23
642×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02343806
18973718
246433662
Stop Event
node limit
Counts
104 → 133
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x))))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))))
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(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
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(*.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 1 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))))))
(*.f64 -1 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))
(*.f64 -1 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))))
(*.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) -1)
(*.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))))
(*.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 0 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))))))
(*.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (/.f64 0 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))))
(*.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 0 (*.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))))))))
(*.f64 (*.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))
(/.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) 1)
(/.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))))
(/.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) -1)
(neg.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))))))
Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 x (+.f64 (log.f64 x) -1)))))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (-.f64 (*.f64 x (log.f64 x)) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 x (+.f64 (log.f64 x) -1)))))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (-.f64 (*.f64 x (log.f64 x)) x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
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(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
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(/.f64 83333333333333/1000000000000000 x)
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(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 0 (/.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(-.f64 0 (*.f64 -1 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 83333333333333/1000000000000000 x)) (/.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 83333333333333/1000000000000000 x))))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1 (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x)))))
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(*.f64 (*.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (-.f64 91893853320467/100000000000000 x)))
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(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
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(-.f64 91893853320467/100000000000000 (-.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
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(-.f64 91893853320467/100000000000000 (-.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (-.f64 91893853320467/100000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))))
(/.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))))
(-.f64 91893853320467/100000000000000 (-.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
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(-.f64 91893853320467/100000000000000 (-.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (-.f64 91893853320467/100000000000000 x)))
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(neg.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x))))
(-.f64 91893853320467/100000000000000 (-.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (-.f64 91893853320467/100000000000000 x)))
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(neg.f64 (*.f64 -1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))))))
(-.f64 91893853320467/100000000000000 (-.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) (-.f64 91893853320467/100000000000000 x)))
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localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z 7936500793651/10000000000000000)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
5.7b
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
Compiler

Compiled 99 to 69 computations (30.3% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
0.0ms
z
@0
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
0.0ms
z
@inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
2050×rational_best_oopsla_all_46_json-2
2050×rational_best_oopsla_all_46_json-1
2050×rational_best_oopsla_all_46_json-4
2050×rational_best_oopsla_all_46_json-3
522×rational_best_oopsla_all_46_json_45_simplify-13
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
17938
224938
3105038
4453838
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
(*.f64 z 7936500793651/10000000000000000)
Outputs
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simplify134.0ms (0.8%)

Algorithm
egg-herbie
Rules
1350×rational_best_oopsla_all_46_json_45_simplify-89
1068×rational_best_oopsla_all_46_json_45_simplify-74
970×rational_best_oopsla_all_46_json_45_simplify-24
834×rational_best_oopsla_all_46_json_45_simplify-37
706×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01302133
14192133
215922133
371442133
Stop Event
node limit
Counts
91 → 73
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
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Outputs
(/.f64 83333333333333/1000000000000000 x)
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(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
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(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
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localize114.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0b
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
10.1b
(*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))
Compiler

Compiled 187 to 129 computations (31% saved)

series2.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))
0.0ms
z
@inf
(*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))
0.0ms
z
@inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
0.0ms
y
@inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
0.0ms
y
@-inf
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)

rewrite69.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1176×rational_best_oopsla_all_46_json_45_simplify-89
1108×rational_best_oopsla_all_46_json_45_simplify-13
942×rational_best_oopsla_all_46_json_45_simplify-23
902×rational_best_oopsla_all_46_json-2
902×rational_best_oopsla_all_46_json_45_simplify-87
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01686
110762
237762
3197662
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
Outputs
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simplify147.0ms (0.9%)

Algorithm
egg-herbie
Rules
1080×rational_best_oopsla_all_46_json_45_simplify-37
1036×rational_best_oopsla_all_46_json_45_simplify-10
830×rational_best_oopsla_all_46_json_45_simplify-13
746×rational_best_oopsla_all_46_json_45_simplify-49
696×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874047
16574047
224344047
376114047
Stop Event
node limit
Counts
123 → 88
Calls
Call 1
Inputs
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
z
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Outputs
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(/.f64 83333333333333/1000000000000000 x)
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2))))
(+.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)))
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(+.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
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(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (neg.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
5.4b
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
11.4b
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
Compiler

Compiled 118 to 72 computations (39% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

15 calls:

TimeVariablePointExpression
0.0ms
z
@0
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
0.0ms
y
@-inf
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
0.0ms
y
@inf
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
0.0ms
y
@0
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
0.0ms
y
@inf
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))

rewrite76.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1932×rational_best_oopsla_all_46_json-2
1932×rational_best_oopsla_all_46_json-1
1932×rational_best_oopsla_all_46_json-4
1932×rational_best_oopsla_all_46_json-3
984×rational_best_oopsla_all_46_json_45_simplify-7
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
16644
219344
376544
4384144
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
Outputs
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simplify134.0ms (0.8%)

Algorithm
egg-herbie
Rules
1132×rational_best_oopsla_all_46_json_45_simplify-37
968×rational_best_oopsla_all_46_json_45_simplify-72
780×rational_best_oopsla_all_46_json_45_simplify-10
768×rational_best_oopsla_all_46_json_45_simplify-13
730×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492699
15062675
224892667
375532667
Stop Event
node limit
Counts
93 → 86
Calls
Call 1
Inputs
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
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(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)))
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)))))
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(neg.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (neg.f64 (pow.f64 z 2))))
Outputs
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
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(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (*.f64 (pow.f64 z 2) y) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (pow.f64 z 2) (pow.f64 z 2))) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 (/.f64 (pow.f64 z 2) (pow.f64 z 2)) (/.f64 (pow.f64 z 2) (pow.f64 z 2)))) (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 (/.f64 (pow.f64 z 2) (pow.f64 z 2)) (/.f64 (pow.f64 z 2) (pow.f64 z 2))))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (*.f64 (pow.f64 z 2) (/.f64 (+.f64 7936500793651/10000000000000000 y) (pow.f64 z 2))) (*.f64 (pow.f64 z 2) (/.f64 (+.f64 7936500793651/10000000000000000 y) (pow.f64 z 2)))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (/.f64 (*.f64 (pow.f64 z 2) (/.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y))) (*.f64 (pow.f64 z 2) (/.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)))))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(neg.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (neg.f64 (pow.f64 z 2))))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))

eval889.0ms (5.2%)

Compiler

Compiled 48270 to 32467 computations (32.7% saved)

prune729.0ms (4.2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1196171213
Fresh7411
Picked101
Done224
Total1206231229
Error
4.1b
Counts
1229 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 83333333333333/1000000000000000 x)
12.8b
(-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 x (log.f64 x)))) (*.f64 1/2 (log.f64 x)))
32.0b
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
10.4b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
10.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
26.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
30.0b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
7.5b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
8.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)))))
7.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
29.4b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
12.8b
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
12.8b
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
44.5b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
37.2b
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
44.5b
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
37.4b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
40.8b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
55.7b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
44.5b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
31.9b
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Compiler

Compiled 986 to 752 computations (23.7% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
5.4b
(*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000))
11.4b
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
Compiler

Compiled 143 to 89 computations (37.8% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 8 to 6 computations (25% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
0.1b
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 39 to 26 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@-inf
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
0.0ms
x
@inf
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))

rewrite143.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1292×rational_best_oopsla_all_46_json-2
1292×rational_best_oopsla_all_46_json-1
1292×rational_best_oopsla_all_46_json-4
1292×rational_best_oopsla_all_46_json-3
1112×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
17358
216458
354158
4253258
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 91893853320467/100000000000000 (-.f64 x (*.f64 -1/2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 x 91893853320467/100000000000000) (*.f64 -1/2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (-.f64 (*.f64 (log.f64 x) 1/2) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))) (*.f64 x (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) (+.f64 (*.f64 -1/2 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simplify174.0ms (1%)

Algorithm
egg-herbie
Rules
1356×rational_best_oopsla_all_46_json_45_simplify-72
1242×rational_best_oopsla_all_46_json_45_simplify-35
1138×rational_best_oopsla_all_46_json_45_simplify-49
852×rational_best_oopsla_all_46_json_45_simplify-23
824×rational_best_oopsla_all_46_json_45_simplify-37
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02034075
17853879
250983875
Stop Event
node limit
Counts
113 → 135
Calls
Call 1
Inputs
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(*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) -1)
(*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) (neg.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))
(*.f64 -1 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))
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(*.f64 (neg.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))))
(/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) -1)
(neg.f64 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
Outputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (-.f64 91893853320467/100000000000000 x))
(*.f64 -1 x)
(neg.f64 x)
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(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))
(/.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x))) (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 91893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))
(/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) -1)
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))
(neg.f64 (-.f64 x (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 x)))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (log.f64 x) (+.f64 x -1/2))
0.2b
(*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2))
0.3b
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 92 to 61 computations (33.7% saved)

series47.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
45.0ms
x
@0
(*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2))
1.0ms
x
@-inf
(/.f64 (log.f64 x) (+.f64 x -1/2))
0.0ms
x
@inf
(/.f64 (log.f64 x) (+.f64 x -1/2))
0.0ms
x
@0
(/.f64 (log.f64 x) (+.f64 x -1/2))
0.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))

rewrite115.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1178×rational_best_oopsla_all_46_json_45_simplify-37
1022×rational_best_oopsla_all_46_json_45_simplify-13
952×rational_best_oopsla_all_46_json_45_simplify-89
846×rational_best_oopsla_all_46_json_45_simplify-23
764×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015111
197111
2332111
3185063
Stop Event
node limit
Counts
3 → 142
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
(*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2))
(/.f64 (log.f64 x) (+.f64 x -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x 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simplify244.0ms (1.4%)

Algorithm
egg-herbie
Rules
1464×rational_best_oopsla_all_46_json_45_simplify-89
1214×rational_best_oopsla_all_46_json_45_simplify-24
1200×rational_best_oopsla_all_46_json_45_simplify-74
910×rational_best_oopsla_all_46_json_45_simplify-35
610×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040711984
1161310294
261649954
Stop Event
node limit
Counts
178 → 265
Calls
Call 1
Inputs
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(-.f64 (*.f64 (*.f64 -1/2 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))) (*.f64 (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))
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(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x -1/2) (+.f64 x -1/2)))
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(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))
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(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))))
(neg.f64 (neg.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))
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(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 1 (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
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(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
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Outputs
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(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
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(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (+.f64 (log.f64 x) -1))))
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(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
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(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 x (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
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(-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 x (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))) (*.f64 (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 -1/2 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))
(*.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (-.f64 (*.f64 x (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))) (*.f64 -1/2 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)))))
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))) (*.f64 (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 x (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))
(*.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (-.f64 (*.f64 -1/2 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 1/2 x)))))
(*.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (-.f64 (*.f64 -1/2 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))) (*.f64 x (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)))))
(-.f64 (*.f64 0 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2)))))) (*.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))))) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))
(*.f64 (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))))) (-.f64 0 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))))
(*.f64 (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))))) (neg.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))
(neg.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (+.f64 -1/2 x) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))))))
(neg.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (+.f64 -1/2 x)))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (+.f64 x -1/2) (+.f64 x -1/2)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (log.f64 x) (+.f64 -1/2 x))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)))) (*.f64 (+.f64 -1/2 x) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (+.f64 x -1/2) (+.f64 x -1/2))) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (+.f64 x -1/2) (+.f64 x -1/2)))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (+.f64 -1/2 x) (+.f64 -1/2 x))) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x))) (/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (+.f64 x -1/2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 (log.f64 x) (+.f64 -1/2 x)))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))))) (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2)))))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))))) (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))))))
(/.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))))) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x))) (*.f64 (+.f64 x -1/2) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 1/2 x)))))))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (/.f64 (*.f64 (+.f64 -1/2 x) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))))) (*.f64 (+.f64 -1/2 x) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (-.f64 1/2 x)))))))
(neg.f64 (neg.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) 0)
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 0 (/.f64 (log.f64 x) (+.f64 x -1/2)))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(-.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) 0)
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(-.f64 0 (neg.f64 (/.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) 1)
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 1 (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 1 (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 1 (/.f64 (log.f64 x) (+.f64 x -1/2)))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 -1 (neg.f64 (/.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (log.f64 x) (+.f64 x -1/2)))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 1 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (neg.f64 (/.f64 (log.f64 x) (+.f64 x -1/2))) -1)
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (neg.f64 (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 0 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (*.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 1 (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (log.f64 x) (+.f64 x -1/2)))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2))) (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))) (/.f64 (log.f64 x) (+.f64 x -1/2)))
(/.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (neg.f64 (/.f64 (/.f64 (log.f64 x) (+.f64 x -1/2)) (/.f64 (log.f64 x) (+.f64 x -1/2)))) (neg.f64 (/.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (log.f64 x) (+.f64 -1/2 x))

localize97.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
10.4b
(/.f64 (pow.f64 z 2) x)
Compiler

Compiled 70 to 46 computations (34.3% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (pow.f64 z 2) x)
0.0ms
z
@inf
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
0.0ms
z
@inf
(/.f64 (pow.f64 z 2) x)
0.0ms
x
@-inf
(/.f64 (pow.f64 z 2) x)
0.0ms
x
@0
(/.f64 (pow.f64 z 2) x)

rewrite60.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1312×rational_best_oopsla_all_46_json_45_simplify-23
1234×rational_best_oopsla_all_46_json_45_simplify-37
1212×rational_best_oopsla_all_46_json_45_simplify-13
834×rational_best_oopsla_all_46_json-2
834×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
14932
210832
334232
4158332
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 (pow.f64 z 2) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
Outputs
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simplify153.0ms (0.9%)

Algorithm
egg-herbie
Rules
1038×rational_best_oopsla_all_46_json_45_simplify-49
896×rational_best_oopsla_all_46_json_45_simplify-72
556×rational_best_oopsla_all_46_json_45_simplify-108
532×rational_best_oopsla_all_46_json_45_simplify-93
508×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01741615
16471615
227811611
378181563
Stop Event
node limit
Counts
87 → 92
Calls
Call 1
Inputs
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(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) 0))
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (neg.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) 0))
(-.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) (neg.f64 (/.f64 (pow.f64 z 2) x))))
(-.f64 (*.f64 0 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000)))
(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (neg.f64 (/.f64 (pow.f64 z 2) x))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000)))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) 1)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000) -1)
(neg.f64 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000))
Outputs
(+.f64 (/.f64 (pow.f64 z 2) x) 0)
(/.f64 (pow.f64 z 2) x)
(+.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x))) 0))
(/.f64 (pow.f64 z 2) x)
(+.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) 0))
(/.f64 (pow.f64 z 2) x)
(+.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) 0))
(/.f64 (pow.f64 z 2) x)
(+.f64 0 (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x)))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(-.f64 (/.f64 (pow.f64 z 2) x) 0)
(/.f64 (pow.f64 z 2) x)
(-.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x))) 0))
(/.f64 (pow.f64 z 2) x)
(-.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) 0))
(/.f64 (pow.f64 z 2) x)
(-.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 0 (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(-.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) 0))
(/.f64 (pow.f64 z 2) x)
(-.f64 0 (neg.f64 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x)))) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x))) (neg.f64 (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (neg.f64 (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) 1)
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x))) (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (pow.f64 z 2) x) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 1 (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (+.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (+.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) (/.f64 -1 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) (/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) -1)
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) (-.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) (-.f64 (/.f64 0 (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)) (-.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x)))))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (neg.f64 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x)))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 1 (/.f64 (pow.f64 z 2) x)))) (neg.f64 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (neg.f64 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(neg.f64 (neg.f64 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) 0)
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (neg.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 0 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(+.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) 0)
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (neg.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) 0))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) (neg.f64 (/.f64 (pow.f64 z 2) x))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 0 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000)))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (neg.f64 (/.f64 (pow.f64 z 2) x))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(-.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000)))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (neg.f64 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000)))
(*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))))
(*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) 1)
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))))
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000))) (*.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 1 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))) (*.f64 (/.f64 (pow.f64 z 2) x) (/.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (/.f64 (pow.f64 z 2) x) (/.f64 (pow.f64 z 2) x))))))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(/.f64 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000) -1)
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)
(neg.f64 (*.f64 (/.f64 (pow.f64 z 2) x) -7936500793651/10000000000000000))
(*.f64 (/.f64 (pow.f64 z 2) x) 7936500793651/10000000000000000)

eval798.0ms (4.6%)

Compiler

Compiled 36975 to 25090 computations (32.1% saved)

prune432.0ms (2.5%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New9569965
Fresh21416
Picked101
Done156
Total96028988
Error
4.1b
Counts
988 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 83333333333333/1000000000000000 x)
12.8b
(-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 x (log.f64 x)))) (*.f64 1/2 (log.f64 x)))
32.0b
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
10.4b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
10.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
26.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
30.0b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
10.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) 7936500793651/10000000000000000) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
8.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)))))
7.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
13.5b
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
29.4b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 1/2 x)))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
12.8b
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
12.8b
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
44.7b
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
12.9b
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
44.5b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
37.2b
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
44.5b
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
37.4b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
40.8b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
55.7b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
59.1b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
44.7b
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
44.5b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
43.8b
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
31.9b
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Compiler

Compiled 1190 to 902 computations (24.2% saved)

localize198.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.3b
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
0.3b
(*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
7.0b
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
Compiler

Compiled 265 to 186 computations (29.8% saved)

series7.0ms (0%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
1.0ms
z
@inf
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
1.0ms
y
@0
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
1.0ms
y
@inf
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))

rewrite135.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
968×rational_best_oopsla_all_46_json_45_simplify-37
898×rational_best_oopsla_all_46_json_45_simplify-89
790×rational_best_oopsla_all_46_json_45_simplify-23
756×rational_best_oopsla_all_46_json-2
756×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017165
1109165
2351165
31649165
47794165
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)
(*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
Outputs
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simplify384.0ms (2.2%)

Algorithm
egg-herbie
Rules
986×rational_best_oopsla_all_46_json_45_simplify-72
880×rational_best_oopsla_all_46_json_45_simplify-7
836×rational_best_oopsla_all_46_json_45_simplify-89
724×rational_best_oopsla_all_46_json_45_simplify-24
644×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032112189
1107912141
2408212141
3776912141
Stop Event
node limit
Counts
199 → 176
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))
Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2))))
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2))))
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
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(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000))) x)
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) x)))
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 13888888888889/5000000000000000))) x)
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(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(+.f64 (*.f64 2777777777777800000000000000/6944444444444388888888888889 (*.f64 z x)) (*.f64 1000000000000000/83333333333333 x))
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(+.f64 (*.f64 x 1000000000000000/83333333333333) (*.f64 x (*.f64 2777777777777800000000000000/6944444444444388888888888889 z)))
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(neg.f64 (*.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(*.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x) (/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)))
(+.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) 0)
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
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(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(-.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) 0)
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
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(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) 1)
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
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(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) -1)
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (neg.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 -1 (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))) (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))
(/.f64 1 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize86.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
0.2b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
0.4b
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
Compiler

Compiled 44 to 32 computations (27.3% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
0.0ms
x
@-inf
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
0.0ms
x
@inf
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
0.0ms
x
@0
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)

rewrite82.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1690×rational_best_oopsla_all_46_json-2
1690×rational_best_oopsla_all_46_json-1
1690×rational_best_oopsla_all_46_json-4
1690×rational_best_oopsla_all_46_json-3
736×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01477
18277
219177
367377
4339377
Stop Event
node limit
Counts
3 → 93
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
Outputs
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simplify137.0ms (0.8%)

Algorithm
egg-herbie
Rules
1198×rational_best_oopsla_all_46_json_45_simplify-49
1110×rational_best_oopsla_all_46_json_45_simplify-23
806×rational_best_oopsla_all_46_json_45_simplify-35
772×rational_best_oopsla_all_46_json_45_simplify-36
676×rational_best_oopsla_all_46_json_45_simplify-13
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02024081
17604065
253094065
Stop Event
node limit
Counts
129 → 127
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
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Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
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(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
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(/.f64 83333333333333/1000000000000000 x)
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(*.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))) (*.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))) (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))) (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 (*.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (/.f64 1 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x))) -1)
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x))) (neg.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 -1 (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 -1 (*.f64 1 (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x)))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 -1 (*.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))) (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x)))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))) (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))) (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) 1)
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (/.f64 (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))) (/.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)) (-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000)))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))
(neg.f64 (-.f64 (*.f64 (/.f64 1 x) -83333333333333/1000000000000000) (*.f64 -1/2 (log.f64 x))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) -83333333333333/1000000000000000))

localize88.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2))
0.2b
(*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2))
0.2b
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 83 to 57 computations (31.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@0
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@inf
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@-inf
(*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2))
0.0ms
x
@inf
(*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2))

rewrite72.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1512×rational_best_oopsla_all_46_json_45_simplify-13
1174×rational_best_oopsla_all_46_json_45_simplify-23
1008×rational_best_oopsla_all_46_json_45_simplify-74
960×rational_best_oopsla_all_46_json-2
960×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016105
1109105
2393105
32293105
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x))
(*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2))
(*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2))
Outputs
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simplify152.0ms (0.9%)

Algorithm
egg-herbie
Rules
1352×rational_best_oopsla_all_46_json_45_simplify-49
1224×rational_best_oopsla_all_46_json_45_simplify-89
1184×rational_best_oopsla_all_46_json_45_simplify-7
1060×rational_best_oopsla_all_46_json_45_simplify-24
948×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03479860
113449342
257499330
Stop Event
node limit
Counts
158 → 295
Calls
Call 1
Inputs
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(log.f64 x)
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(/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (/.f64 (*.f64 (+.f64 x -1/2) (+.f64 1 (*.f64 x -2))) (*.f64 (+.f64 x -1/2) (+.f64 1 (*.f64 x -2)))))
(/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)))) (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2))))))
(neg.f64 (*.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2))))
Outputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) 1) x) (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 x (+.f64 (*.f64 (log.f64 x) 2) -1)) 91893853320467/100000000000000))
(+.f64 (*.f64 x (+.f64 -1 (*.f64 (log.f64 x) 2))) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))
(+.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) 1) x) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -2 (*.f64 (pow.f64 x 2) (log.f64 x))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 x (+.f64 (*.f64 (log.f64 x) 2) -1)) (+.f64 91893853320467/100000000000000 (*.f64 (pow.f64 x 2) (*.f64 (log.f64 x) -2)))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 x (+.f64 -1 (*.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) (*.f64 -2 (pow.f64 x 2))))))
(+.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) 1) x) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -2 (*.f64 (pow.f64 x 2) (log.f64 x))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 x (+.f64 (*.f64 (log.f64 x) 2) -1)) (+.f64 91893853320467/100000000000000 (*.f64 (pow.f64 x 2) (*.f64 (log.f64 x) -2)))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 x (+.f64 -1 (*.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) (*.f64 -2 (pow.f64 x 2))))))
(*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (*.f64 (-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) 1) x))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2))) (*.f64 x (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) -1)))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x)))) (*.f64 x (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) -1)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 (-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) 1) x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 x (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) -1)) (*.f64 (log.f64 (/.f64 1 x)) 1/2))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 x (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) -1)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) 1/2))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 (-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) 1) x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 x (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) -1)) (*.f64 (log.f64 (/.f64 1 x)) 1/2))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 x (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) -1)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) 1/2))))
(*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2)))
(*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 x)))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (neg.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 1 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (neg.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(log.f64 x)
(+.f64 (*.f64 -2 (*.f64 x (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 x (*.f64 (log.f64 x) -2)))
(+.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 x -2)))
(+.f64 (*.f64 -2 (*.f64 x (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 x (*.f64 (log.f64 x) -2)))
(+.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 x -2)))
(+.f64 (*.f64 -2 (*.f64 x (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 x (*.f64 (log.f64 x) -2)))
(+.f64 (log.f64 x) (*.f64 (log.f64 x) (*.f64 x -2)))
(*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 x))
(*.f64 x (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 x)) (*.f64 (log.f64 (/.f64 1 x)) -1))
(*.f64 (log.f64 (/.f64 1 x)) (+.f64 -1 (*.f64 x 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 x)) (*.f64 (log.f64 (/.f64 1 x)) -1))
(*.f64 (log.f64 (/.f64 1 x)) (+.f64 -1 (*.f64 x 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 x)) (*.f64 (log.f64 (/.f64 1 x)) -1))
(*.f64 (log.f64 (/.f64 1 x)) (+.f64 -1 (*.f64 x 2)))
(*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -2 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -2 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2)) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -2 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2)) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -2 (*.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2)) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x -2)))
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 2 (*.f64 x (log.f64 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) (*.f64 x 2)))
(*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -2 (*.f64 (pow.f64 x 2) (log.f64 x))) (*.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (log.f64 x) -2)) (*.f64 (log.f64 x) (*.f64 x 2))))
(+.f64 (*.f64 (log.f64 x) (*.f64 -2 (pow.f64 x 2))) (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -2 (*.f64 (pow.f64 x 2) (log.f64 x))) (*.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (log.f64 x) -2)) (*.f64 (log.f64 x) (*.f64 x 2))))
(+.f64 (*.f64 (log.f64 x) (*.f64 -2 (pow.f64 x 2))) (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))))
(*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) x)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2))) (*.f64 (log.f64 (/.f64 1 x)) (*.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) (*.f64 x -2)))
(+.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) x))))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 (log.f64 (/.f64 1 x)) 1/2) (*.f64 (log.f64 (/.f64 1 x)) (*.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) (+.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) x))))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 (log.f64 (/.f64 1 x)) 1/2) (*.f64 (log.f64 (/.f64 1 x)) (*.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 2 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) (+.f64 1/2 (*.f64 x -2))))
(*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2)))
(*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 2 x)))
(+.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (*.f64 x (*.f64 2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -2 (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 2 x))))
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(/.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (/.f64 (*.f64 (+.f64 -1/2 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x)))) (/.f64 (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x)))))) (*.f64 (+.f64 -1/2 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x)))) (/.f64 (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x))) (*.f64 (log.f64 x) (*.f64 2 (+.f64 -1/2 x))))))))
(/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x))) (/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)))))
(/.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x)) (/.f64 (/.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x)) (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x))) (/.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x)) (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x)))))
(/.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (/.f64 (/.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x))))) (/.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))))))
(/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (/.f64 (*.f64 (+.f64 x -1/2) (+.f64 1 (*.f64 x -2))) (*.f64 (+.f64 x -1/2) (+.f64 1 (*.f64 x -2)))))
(/.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x)) (/.f64 (*.f64 (+.f64 -1/2 x) (+.f64 1 (*.f64 x -2))) (*.f64 (+.f64 -1/2 x) (+.f64 1 (*.f64 x -2)))))
(/.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (/.f64 (*.f64 (+.f64 -1/2 x) (+.f64 1 (*.f64 x -2))) (*.f64 (+.f64 -1/2 x) (+.f64 1 (*.f64 x -2)))))
(/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2)) (-.f64 1/2 x)) (/.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)))) (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (/.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2))))))
(/.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2)) (-.f64 1/2 x)) (/.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) -2)) (/.f64 (+.f64 -1/2 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) -2)))) (*.f64 (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) -2)) (/.f64 (+.f64 -1/2 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) -2))))))
(/.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (/.f64 (*.f64 (+.f64 -1/2 x) (*.f64 (/.f64 (+.f64 -1/2 x) (*.f64 (log.f64 x) (*.f64 -2 (+.f64 -1/2 x)))) (*.f64 (log.f64 x) -2))) (*.f64 (+.f64 -1/2 x) (*.f64 (/.f64 (+.f64 -1/2 x) (*.f64 (log.f64 x) (*.f64 -2 (+.f64 -1/2 x)))) (*.f64 (log.f64 x) -2)))))
(neg.f64 (*.f64 (+.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) 2))))
(neg.f64 (*.f64 (+.f64 -1/2 x) (*.f64 (log.f64 x) (*.f64 (+.f64 -1/2 x) 2))))
(*.f64 (*.f64 (+.f64 -1/2 x) (+.f64 -1/2 x)) (neg.f64 (*.f64 (log.f64 x) 2)))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.7b
(*.f64 y (pow.f64 z 2))
8.4b
(/.f64 (*.f64 y (pow.f64 z 2)) x)
Compiler

Compiled 70 to 42 computations (40% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (*.f64 y (pow.f64 z 2)) x)
1.0ms
y
@0
(/.f64 (*.f64 y (pow.f64 z 2)) x)
0.0ms
x
@0
(/.f64 (*.f64 y (pow.f64 z 2)) x)
0.0ms
z
@0
(/.f64 (*.f64 y (pow.f64 z 2)) x)
0.0ms
y
@inf
(/.f64 (*.f64 y (pow.f64 z 2)) x)

rewrite67.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1550×rational_best_oopsla_all_46_json-2
1550×rational_best_oopsla_all_46_json-1
1550×rational_best_oopsla_all_46_json-4
1550×rational_best_oopsla_all_46_json-3
1238×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
15232
215032
361532
4304932
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 y (pow.f64 z 2))
Outputs
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(*.f64 y (pow.f64 z 2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x))))))) (#(struct:change 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(/.f64 (*.f64 y (pow.f64 z 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (pow.f64 z 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 y (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))) (*.f64 y (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (pow.f64 z 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 z 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (*.f64 (pow.f64 z 2) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (/.f64 y y) (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 z 2) (/.f64 y y)) (*.f64 (pow.f64 z 2) (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2))) (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (/.f64 (pow.f64 z 2) y)) (*.f64 y (/.f64 (pow.f64 z 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y))) (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 z 2) (neg.f64 y)))))))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
1662×rational_best_oopsla_all_46_json_45_simplify-37
1174×rational_best_oopsla_all_46_json_45_simplify-13
1078×rational_best_oopsla_all_46_json_45_simplify-72
988×rational_best_oopsla_all_46_json_45_simplify-7
698×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171216
14111216
226321208
Stop Event
node limit
Counts
56 → 61
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) 0)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 0 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(+.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) x))
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(-.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) 1)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 1 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(*.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)) -1)
(*.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)) (neg.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(neg.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(+.f64 (*.f64 y (pow.f64 z 2)) 0)
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))
(+.f64 0 (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))
(-.f64 (*.f64 y (pow.f64 z 2)) 0)
(-.f64 0 (*.f64 (pow.f64 z 2) (neg.f64 y)))
(-.f64 (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (*.f64 (pow.f64 z 2) (neg.f64 y))))
(/.f64 (*.f64 y (pow.f64 z 2)) 1)
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 y y))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (pow.f64 z 2) (pow.f64 z 2)))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (/.f64 y y) (/.f64 y y)))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 z 2) (/.f64 y y)) (*.f64 (pow.f64 z 2) (/.f64 y y))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2))) (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (/.f64 (pow.f64 z 2) y)) (*.f64 y (/.f64 (pow.f64 z 2) y))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y))) (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))))
(neg.f64 (*.f64 (pow.f64 z 2) (neg.f64 y)))
Outputs
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) 0)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 0 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(-.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) 0)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(-.f64 0 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) 1)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 1 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 -1 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 1 (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)) -1)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)) (neg.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (/.f64 (*.f64 y (pow.f64 z 2)) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 y (pow.f64 z 2)) x))) (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(neg.f64 (neg.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (*.f64 y (pow.f64 z 2)) 0)
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) y))))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))
(*.f64 y (pow.f64 z 2))
(+.f64 0 (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 0 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))) (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 0 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(-.f64 (*.f64 y (pow.f64 z 2)) 0)
(*.f64 y (pow.f64 z 2))
(-.f64 0 (*.f64 (pow.f64 z 2) (neg.f64 y)))
(*.f64 y (pow.f64 z 2))
(-.f64 (*.f64 0 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))) (*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (*.f64 (pow.f64 z 2) (neg.f64 y))))
(*.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (neg.f64 (*.f64 (pow.f64 z 2) (neg.f64 y))))
(*.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))))
(/.f64 (*.f64 y (pow.f64 z 2)) 1)
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 y y))
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (pow.f64 z 2) (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))))
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (/.f64 y y) (/.f64 y y)))
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 z 2) (/.f64 y y)) (*.f64 (pow.f64 z 2) (/.f64 y y))))
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2))) (*.f64 y (/.f64 (pow.f64 z 2) (pow.f64 z 2)))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 y (/.f64 (pow.f64 z 2) y)) (*.f64 y (/.f64 (pow.f64 z 2) y))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y))) (*.f64 (pow.f64 z 2) (*.f64 (/.f64 y y) (/.f64 y y)))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (*.f64 (/.f64 y y) (*.f64 (pow.f64 z 2) (/.f64 y y))) (*.f64 (/.f64 y y) (*.f64 (pow.f64 z 2) (/.f64 y y)))))
(/.f64 (*.f64 y (pow.f64 z 2)) (/.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2))) (/.f64 (*.f64 y (pow.f64 z 2)) (*.f64 y (pow.f64 z 2)))))
(neg.f64 (*.f64 (pow.f64 z 2) (neg.f64 y)))
(*.f64 y (pow.f64 z 2))

eval1.9s (10.9%)

Compiler

Compiled 51796 to 36303 computations (29.9% saved)

prune386.0ms (2.2%)

Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New105381061
Fresh11718
Picked101
Done279
Total1057321089
Error
4.0b
Counts
1089 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 83333333333333/1000000000000000 x)
12.8b
(-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 x (log.f64 x)))) (*.f64 1/2 (log.f64 x)))
32.0b
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
10.4b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
10.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
26.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
10.8b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) 7936500793651/10000000000000000) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
8.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)))))
26.6b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
13.5b
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
44.7b
(+.f64 (-.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (-.f64 x 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
29.4b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 1/2 x)))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
38.6b
(+.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) 1) x) (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
12.8b
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
12.8b
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
12.9b
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
38.6b
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
44.5b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
37.2b
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
37.4b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
40.8b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
59.2b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
55.7b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
37.2b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
59.1b
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
44.7b
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
44.5b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
44.5b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
62.3b
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
43.8b
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
31.9b
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Compiler

Compiled 736 to 562 computations (23.6% saved)

regimes602.0ms (3.5%)

Counts
53 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (-.f64 x 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
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(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 x (log.f64 x)))) (*.f64 1/2 (log.f64 x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(+.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) 1) x) (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 1/2 (log.f64 x))) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) 7936500793651/10000000000000000) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))) (*.f64 (/.f64 (log.f64 x) (+.f64 -1/2 x)) (*.f64 x (-.f64 1/2 x)))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (*.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 1 x) 7936500793651/10000000000000000)) (pow.f64 z 2)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 -1/2 x) (*.f64 (+.f64 -1/2 x) (/.f64 (log.f64 x) (+.f64 -1/2 x)))))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Calls

7 calls:

148.0ms
x
120.0ms
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
102.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
74.0ms
y
58.0ms
z
Results
ErrorSegmentsBranch
5.4b2x
7.5b1y
7.5b1z
5.5b2(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.5b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
5.5b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
7.5b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 1259 to 863 computations (31.5% saved)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
8.0ms
1.0452341975136201e+101
8.898489111330582e+101
Results
7.0ms48×body256valid
0.0msbody256infinite
Compiler

Compiled 177 to 136 computations (23.2% saved)

regimes367.0ms (2.1%)

Counts
46 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (-.f64 x 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (+.f64 y 7936500793651/10000000000000000)))) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x) (/.f64 1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 x (log.f64 x)))) (*.f64 1/2 (log.f64 x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) x)))
(+.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) 1) x) (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 1/2 (log.f64 x))) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) 7936500793651/10000000000000000) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
Outputs
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Calls

7 calls:

139.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
60.0ms
(+.f64 y 7936500793651/10000000000000000)
41.0ms
x
40.0ms
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
26.0ms
z
Results
ErrorSegmentsBranch
5.4b2x
7.6b1y
7.6b1z
5.5b2(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.5b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
5.5b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
7.6b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 998 to 690 computations (30.9% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
1.0452341975136201e+101
8.898489111330582e+101
Results
16.0ms96×body256valid
1.0msbody256infinite
Compiler

Compiled 285 to 223 computations (21.8% saved)

regimes202.0ms (1.2%)

Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (-.f64 x 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Calls

4 calls:

114.0ms
x
51.0ms
(+.f64 y 7936500793651/10000000000000000)
13.0ms
y
13.0ms
z
Results
ErrorSegmentsBranch
6.1b2x
8.2b1y
8.2b1z
8.2b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 400 to 284 computations (29% saved)

bsearch7.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
7.0ms
1.0452341975136201e+101
8.898489111330582e+101
Results
6.0ms32×body256valid
0.0msbody256infinite
Compiler

Compiled 115 to 91 computations (20.9% saved)

regimes285.0ms (1.7%)

Counts
25 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (-.f64 x 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z y) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
Outputs
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Calls

4 calls:

141.0ms
x
60.0ms
y
54.0ms
z
21.0ms
(+.f64 y 7936500793651/10000000000000000)
Results
ErrorSegmentsBranch
6.3b3x
7.7b3y
9.1b2z
7.7b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 377 to 267 computations (29.2% saved)

bsearch74.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
1.5219263676606482e+57
1.2739817784493124e+61
13.0ms
1.8445842645082445e-38
3.205362438794183e-38
Results
67.0ms192×body256valid
3.0ms20×body256infinite
Compiler

Compiled 553 to 437 computations (21% saved)

regimes215.0ms (1.2%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (*.f64 (log.f64 x) -2)) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (log.f64 x) (*.f64 (-.f64 1/2 x) (*.f64 2 (+.f64 -1/2 x)))) (-.f64 x 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (/.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1/2)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
Outputs
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Calls

4 calls:

115.0ms
z
74.0ms
x
11.0ms
y
8.0ms
(+.f64 y 7936500793651/10000000000000000)
Results
ErrorSegmentsBranch
7.4b2x
12.8b1y
11.7b3z
12.8b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 333 to 238 computations (28.5% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
4.8198711532940255
464.1755370470054
Results
19.0ms112×body256valid
3.0ms18×body256infinite
Compiler

Compiled 327 to 256 computations (21.7% saved)

regimes70.0ms (0.4%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
Outputs
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

37.0ms
z
18.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
10.0b2x
12.8b1y
12.8b1z
Compiler

Compiled 223 to 161 computations (27.8% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
4.8198711532940255
464.1755370470054
Results
16.0ms112×body256valid
2.0ms12×body256infinite
Compiler

Compiled 313 to 249 computations (20.4% saved)

regimes37.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 (*.f64 x 2))) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

11.0ms
y
10.0ms
z
9.0ms
x
Results
ErrorSegmentsBranch
12.8b1x
12.8b1y
12.8b1z
Compiler

Compiled 205 to 148 computations (27.8% saved)

regimes28.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

9.0ms
z
8.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
13.5b1x
13.5b1y
13.5b1z
Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes91.0ms (0.5%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Calls

3 calls:

44.0ms
y
29.0ms
z
12.0ms
x
Results
ErrorSegmentsBranch
13.3b2x
28.6b7y
28.3b5z
Compiler

Compiled 120 to 90 computations (25% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
0.004268225611701416
4.8198711532940255
Results
19.0ms128×body256valid
2.0ms13×body256infinite
Compiler

Compiled 257 to 217 computations (15.6% saved)

regimes61.0ms (0.4%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Outputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
Calls

3 calls:

30.0ms
y
21.0ms
z
9.0ms
x
Results
ErrorSegmentsBranch
13.5b2x
28.6b7y
28.3b5z
Compiler

Compiled 64 to 49 computations (23.4% saved)

bsearch87.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
86.0ms
0.004268225611701416
4.8198711532940255
Results
83.0ms128×body256valid
2.0ms13×body256infinite
Compiler

Compiled 201 to 169 computations (15.9% saved)

regimes130.0ms (0.8%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
Outputs
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x)
Calls

3 calls:

75.0ms
z
45.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
13.5b2x
28.7b7y
28.4b5z
Compiler

Compiled 54 to 41 computations (24.1% saved)

bsearch24.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.004268225611701416
4.8198711532940255
Results
20.0ms128×body256valid
3.0ms18×body256infinite
Compiler

Compiled 193 to 153 computations (20.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -18.7b remaining (-42.8%)

Threshold costs -18.7b (-42.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 1 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
Outputs
(/.f64 83333333333333/1000000000000000 x)
Calls

3 calls:

4.0ms
x
4.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
43.7b1x
43.7b1y
43.7b1z
Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091968
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x 599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 115000000000000006685504708186713252684804065544168002588502364544448949009490406546615617850374619136) (+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 6129982163463555/191561942608236107294793378393788647952342390272950272) (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (if (<=.f64 x 144999999999999995337224041899407512694014719314747841314816) (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)))
(if (<=.f64 x 5) (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))
(if (<=.f64 x 5) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(if (<=.f64 x 1) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x))) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 1) (/.f64 83333333333333/1000000000000000 x) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 1) (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x))
(/.f64 83333333333333/1000000000000000 x)
Outputs
(if (<=.f64 x 599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 y 7936500793651/10000000000000000)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 115000000000000006685504708186713252684804065544168002588502364544448949009490406546615617850374619136) (+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 6129982163463555/191561942608236107294793378393788647952342390272950272) (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (if (<=.f64 x 144999999999999995337224041899407512694014719314747841314816) (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)))
(if (<=.f64 x 5) (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))
(if (<=.f64 x 5) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 z 7936500793651/10000000000000000) 13888888888889/5000000000000000)) 83333333333333/1000000000000000) x))) (+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))) (/.f64 83333333333333/1000000000000000 x))
(if (<=.f64 x 1) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x))) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 1) (/.f64 83333333333333/1000000000000000 x) (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x))
(if (<=.f64 x 1) (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 x))) x) x))
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 376 to 286 computations (23.9% saved)

soundness247.0ms (1.4%)

Algorithm
egg-herbie
Rules
1414×rational_best_oopsla_all_46_json_45_simplify-89
1278×rational_best_oopsla_all_46_json_45_simplify-7
1272×rational_best_oopsla_all_46_json_45_simplify-37
1272×rational_best_oopsla_all_46_json_45_simplify-37
1188×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
14271
213371
351371
4243871
04568490
117168130
268138130
02371
14271
213371
351371
4243871
Stop Event
node limit
node limit
node limit
Compiler

Compiled 369 to 252 computations (31.7% saved)

end152.0ms (0.9%)

Compiler

Compiled 343 to 247 computations (28% saved)

Profiling

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