VandenBroeck and Keller, Equation (6)

Time bar (total: 15.1s)

analyze257.0ms (1.7%)

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%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample3.0s (19.7%)

Results
0.0ms512valid
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2.0ms2048valid
0.0ms256infinite
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1.0ms1024valid
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Bogosity

preprocess1.0s (6.9%)

Algorithm
egg-herbie
Rules
1958×fma-define
1032×fma-neg
910×div-sub
860×times-frac
666×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-0-(tan.f64 (*.f64 (PI.f64) l))
370-0-(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
71(2.1618684740536323e+161 1.5452921951948601e-192)0-(/.f64 1 (*.f64 F F))
00-0-(PI.f64)
00-0-F
00-0-l
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
00-0-(*.f64 (PI.f64) l)
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034415
197365
2251357
3791357
41936357
52739357
63751357
74184357
84893357
94962357
105006357
115038357
125182357
135342357
145524357
155526357
165528357
175540357
185540357
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 (neg.f64 F) (neg.f64 F))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) (neg.f64 l)))))
(neg.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 (neg.f64 F) (neg.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))))
(neg.f64 (-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) (neg.f64 l))))))
(-.f64 (*.f64 (PI.f64) F) (*.f64 (/.f64 1 (*.f64 l l)) (tan.f64 (*.f64 (PI.f64) F))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 (neg.f64 F) (neg.f64 F))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) (neg.f64 l)))))
(+.f64 (*.f64 (PI.f64) (neg.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l))
(neg.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 (neg.f64 F) (neg.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) (neg.f64 l)))))
(+.f64 (*.f64 (PI.f64) (neg.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l))
(neg.f64 (-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) (neg.f64 l))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) F) (*.f64 (/.f64 1 (*.f64 l l)) (tan.f64 (*.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) F) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) F)) l) l))
(-.f64 (*.f64 (PI.f64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) F)) (*.f64 l l)))
Symmetry

(abs F)

(negabs l)

Compiler

Compiled 108 to 48 computations (55.6% saved)

eval1.0ms (0%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
81.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 44 to 27 computations (38.6% saved)

localize505.0ms (3.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
99.7%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
99.6%
(*.f64 (PI.f64) l)
59.2%
(tan.f64 (*.f64 (PI.f64) l))
100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
99.6%
(*.f64 (PI.f64) l)
86.6%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
59.2%
(tan.f64 (*.f64 (PI.f64) l))
99.6%
(*.f64 (PI.f64) l)
98.6%
(/.f64 1 (*.f64 F F))
86.1%
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
59.2%
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 118 to 25 computations (78.8% saved)

series52.0ms (0.3%)

Counts
12 → 204
Calls

51 calls:

TimeVariablePointExpression
4.0ms
F
@0
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
3.0ms
F
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
l
@-inf
(tan.f64 (*.f64 (PI.f64) l))
2.0ms
l
@0
(tan.f64 (*.f64 (PI.f64) l))
2.0ms
l
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite315.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
786×log1p-expm1-u
786×expm1-log1p-u
558×fma-define
396×log1p-undefine
268×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022283
1331269
24732269
Stop Event
node limit
Counts
12 → 420
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (PI.f64) l)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
Outputs
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1)
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(*.f64 1 (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(-.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F 2))
(/.f64 1 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))) 1))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 -1 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (pow.f64 F 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (/.f64 F (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 F 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 F (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (pow.f64 F 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 F 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) -1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 F 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (*.f64 -1 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 1 F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 F 2))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (pow.f64 F 2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) -1) (pow.f64 F 2))
(/.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1) F)
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) -1) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))) -1)
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(/.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) 2) (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)))
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(/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) 2)) (neg.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (-.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (*.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))
(pow.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))) 3)
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(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))
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(*.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)))
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(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
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eval304.0ms (2%)

Compiler

Compiled 21716 to 7656 computations (64.7% saved)

prune139.0ms (0.9%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1103251128
Fresh000
Picked213
Done000
Total1105261131
Accuracy
99.7%
Counts
1131 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
60.7%
(fma.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
61.6%
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
81.0%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
87.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
21.4%
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (-.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (*.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))
81.1%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
80.3%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
71.4%
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
65.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 F F)))
87.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
87.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
75.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
81.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
87.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
74.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (tan.f64 (*.f64 (PI.f64) l))))
81.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (*.f64 2 (log.f64 F)) -1)) (tan.f64 (*.f64 (PI.f64) l))))
43.1%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
34.2%
(*.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) 2) (/.f64 1 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
74.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
74.2%
(*.f64 l (PI.f64))
22.3%
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64))))))
Compiler

Compiled 902 to 570 computations (36.8% saved)

localize3.5s (23%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
93.7%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (tan.f64 (*.f64 (PI.f64) l)))
88.6%
(log1p.f64 (pow.f64 F -2))
87.1%
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
59.9%
(PI.f64)
99.3%
(tan.f64 (*.f64 (PI.f64) l))
93.9%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
63.6%
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
59.9%
(PI.f64)
99.8%
(*.f64 (/.f64 1 F) (/.f64 1 F))
99.3%
(tan.f64 (*.f64 (PI.f64) l))
93.7%
(*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l)))
59.9%
(PI.f64)
99.8%
(*.f64 l (PI.f64))
59.9%
(PI.f64)
99.8%
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
99.8%
(*.f64 (PI.f64) l)
99.3%
(tan.f64 (*.f64 (PI.f64) l))
59.9%
(PI.f64)
Compiler

Compiled 208 to 85 computations (59.1% saved)

series41.0ms (0.3%)

Counts
18 → 192
Calls

51 calls:

TimeVariablePointExpression
4.0ms
l
@-inf
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
2.0ms
l
@0
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
l
@0
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
F
@-inf
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
1.0ms
F
@inf
(log1p.f64 (pow.f64 F -2))

rewrite233.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
927×log1p-expm1-u
724×expm1-log1p-u
650×prod-diff
278×frac-times
218×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029257
1450257
24643257
Stop Event
node limit
Counts
18 → 590
Calls
Call 1
Inputs
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(PI.f64)
(*.f64 l (PI.f64))
(PI.f64)
(*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(PI.f64)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
(log1p.f64 (pow.f64 F -2))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (tan.f64 (*.f64 (PI.f64) l)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1)
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(*.f64 1 (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) l))) 1/3))
(+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 1 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) -1))
(+.f64 (*.f64 (+.f64 1 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))
(*.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(*.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(*.f64 (cbrt.f64 (pow.f64 F -4)) (*.f64 (cbrt.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(*.f64 (pow.f64 F -1/2) (*.f64 (pow.f64 F -1/2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (neg.f64 (pow.f64 F 2))))
(*.f64 (/.f64 -1 F) (/.f64 1 (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 (/.f64 1 F) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) F) (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 (/.f64 1 (cbrt.f64 F)) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(*.f64 (/.f64 (pow.f64 F -1/2) 1) (/.f64 (pow.f64 F -1/2) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (pow.f64 F -1/2) F) (/.f64 (pow.f64 F -1/2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (pow.f64 F -1/2) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (/.f64 (pow.f64 F -1/2) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(*.f64 (/.f64 (/.f64 1 F) 1) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -4))) (cbrt.f64 (pow.f64 F -2)))
(*.f64 (*.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (/.f64 1 F) (neg.f64 F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F 2))))
(neg.f64 (/.f64 (/.f64 1 F) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F -4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 F -3) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
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(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 F -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 F -2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 F -2)) 2))
(log.f64 (+.f64 1 (pow.f64 F -2)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 F -2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 F -2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 F -2))) 1))
(+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 1 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) -1))
(+.f64 (*.f64 (+.f64 1 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F 2))
(/.f64 1 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))) 1))
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 -1 (*.f64 (neg.f64 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 -1 (neg.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 -1 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (pow.f64 F 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (cbrt.f64 F))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 F 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (pow.f64 F -1/2) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -1/2)))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (pow.f64 F 2)))
(/.f64 (/.f64 -1 F) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 F 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 3) -1)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) (+.f64 1 (+.f64 1 (pow.f64 F -2))))))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) -1)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (+.f64 1 (+.f64 1 (pow.f64 F -2)))))
(/.f64 (*.f64 (/.f64 1 F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 3) -1) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) (+.f64 1 (+.f64 1 (pow.f64 F -2)))) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) -1) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (+.f64 1 (+.f64 1 (pow.f64 F -2))) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (pow.f64 F 2))))
(/.f64 (neg.f64 (/.f64 -1 F)) (neg.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) 1) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (pow.f64 F 2))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) (+.f64 1 (+.f64 1 (pow.f64 F -2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) -1)) (+.f64 1 (+.f64 1 (pow.f64 F -2))))
(/.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 -1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 3) -1) (tan.f64 (*.f64 (PI.f64) l))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) (+.f64 1 (+.f64 1 (pow.f64 F -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 F -2)) 2) -1) (tan.f64 (*.f64 (PI.f64) l))) (+.f64 1 (+.f64 1 (pow.f64 F -2))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F 2))))
(neg.f64 (/.f64 (/.f64 1 F) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F -4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 F -3) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))

eval627.0ms (4.2%)

Compiler

Compiled 38679 to 18306 computations (52.7% saved)

prune233.0ms (1.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New198191990
Fresh11920
Picked415
Done011
Total1996202016
Accuracy
99.8%
Counts
2016 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
87.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
73.8%
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
80.3%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
71.4%
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
87.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
81.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64)))))
75.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
87.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 -1 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
87.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
74.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
81.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))
79.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (exp.f64 (log.f64 (log1p.f64 (pow.f64 F -2))))) 1) (tan.f64 (*.f64 (PI.f64) l))))
74.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (*.f64 l (PI.f64))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l))))
73.8%
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 587 to 390 computations (33.6% saved)

localize550.0ms (3.6%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (PI.f64) l)
95.7%
(exp.f64 (*.f64 -2 (log.f64 F)))
86.1%
(*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
59.2%
(tan.f64 (*.f64 (PI.f64) l))
99.8%
(sqrt.f64 (*.f64 (PI.f64) l))
99.6%
(*.f64 (PI.f64) l)
99.2%
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
99.8%
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F))
99.8%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
99.7%
(/.f64 (*.f64 l (PI.f64)) F)
99.6%
(*.f64 l (PI.f64))
100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
99.6%
(*.f64 (PI.f64) l)
99.6%
(*.f64 l (PI.f64))
86.4%
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
99.8%
(*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))
99.7%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
99.6%
(*.f64 (PI.f64) l)
59.2%
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 176 to 51 computations (71% saved)

series64.0ms (0.4%)

Counts
19 → 252
Calls

81 calls:

TimeVariablePointExpression
4.0ms
F
@inf
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
2.0ms
l
@0
(*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
l
@-inf
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms
l
@0
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms
l
@-inf
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))

rewrite240.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
559×log1p-expm1-u
388×times-frac
374×associate-*r*
270×associate-*l*
215×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033428
1529397
27477397
Stop Event
node limit
Counts
19 → 576
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(*.f64 l (PI.f64))
(/.f64 (*.f64 l (PI.f64)) F)
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(*.f64 (PI.f64) l)
(sqrt.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 -2 (log.f64 F)))
(*.f64 (PI.f64) l)
Outputs
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1)
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(*.f64 1 (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (*.f64 (PI.f64) l))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 1)
(*.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))
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(*.f64 (*.f64 (/.f64 1 F) (cbrt.f64 (pow.f64 F -2))) (/.f64 1 (cbrt.f64 F)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (/.f64 (pow.f64 F 2) 1))
(/.f64 (/.f64 1 F) F)
(/.f64 -1 (pow.f64 F 2))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (/.f64 1 F) -1) F)
(pow.f64 F -2)
(pow.f64 (/.f64 1 F) 2)
(pow.f64 (pow.f64 F 2) -1)
(pow.f64 (pow.f64 F -2) 1)
(pow.f64 (exp.f64 -2) (log.f64 F))
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
(pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 -2) (pow.f64 (cbrt.f64 (log.f64 F)) 2)) (cbrt.f64 (log.f64 F)))
(pow.f64 (pow.f64 (exp.f64 -2) (sqrt.f64 (log.f64 F))) (sqrt.f64 (log.f64 F)))
(pow.f64 (exp.f64 1) (*.f64 -2 (log.f64 F)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 F))) 2)) (cbrt.f64 (*.f64 -2 (log.f64 F))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 F)))) (sqrt.f64 (*.f64 -2 (log.f64 F))))
(sqrt.f64 (pow.f64 (pow.f64 F -2) 2))
(log.f64 (exp.f64 (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))
(cbrt.f64 (pow.f64 (pow.f64 F -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 F -2)))
(log1p.f64 (expm1.f64 (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))

eval344.0ms (2.3%)

Compiler

Compiled 21234 to 8784 computations (58.6% saved)

prune117.0ms (0.8%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New133371340
Fresh7613
Picked235
Done022
Total1342181360
Accuracy
99.8%
Counts
1360 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (/.f64 (PI.f64) F)) (neg.f64 F)))
73.8%
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
74.0%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
81.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64)))))
75.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
80.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 F -1/2) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F))))
81.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
81.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
57.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F))))
74.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
81.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
79.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (exp.f64 (log.f64 (log1p.f64 (pow.f64 F -2))))) 1) (tan.f64 (*.f64 (PI.f64) l))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l))))
73.8%
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 466 to 310 computations (33.5% saved)

localize626.0ms (4.1%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (pow.f64 F -1/2) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F)))
99.7%
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F))
99.6%
(*.f64 (PI.f64) l)
99.4%
(/.f64 (PI.f64) (/.f64 F l))
99.6%
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(cbrt.f64 (pow.f64 (PI.f64) 3))
100.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
99.7%
(*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F))
99.6%
(*.f64 (PI.f64) l)
99.4%
(/.f64 (PI.f64) (/.f64 F l))
100.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
99.7%
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
99.6%
(/.f64 (PI.f64) F)
99.6%
(*.f64 (PI.f64) l)
99.6%
(*.f64 (PI.f64) l)
86.6%
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F))
62.8%
(cos.f64 (*.f64 (PI.f64) l))
59.2%
(sin.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 201 to 51 computations (74.6% saved)

series57.0ms (0.4%)

Counts
19 → 288
Calls

78 calls:

TimeVariablePointExpression
3.0ms
l
@0
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F))
2.0ms
l
@0
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F))
2.0ms
F
@-inf
(*.f64 (pow.f64 F -1/2) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F)))
2.0ms
F
@-inf
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
2.0ms
F
@-inf
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F))

rewrite181.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
444×associate-*r*
358×times-frac
330×frac-times
314×associate-*l*
234×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034392
1627385
Stop Event
node limit
Counts
19 → 736
Calls
Call 1
Inputs
(sin.f64 (*.f64 (PI.f64) l))
(cos.f64 (*.f64 (PI.f64) l))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(/.f64 (PI.f64) F)
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(/.f64 (PI.f64) (/.f64 F l))
(*.f64 (PI.f64) l)
(*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (PI.f64) (/.f64 F l))
(*.f64 (PI.f64) l)
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F))
(*.f64 (pow.f64 F -1/2) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) l)))) 1)
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) 1)
(*.f64 1 (sin.f64 (*.f64 (PI.f64) l)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))))
(pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) l))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) l))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) l))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) l)))) 1)
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) 1)
(*.f64 1 (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) l))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) l))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) l))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 F 2))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (neg.f64 (pow.f64 F 2))))
(*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 F 2)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) 1) (/.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (/.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F 2)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (/.f64 (pow.f64 F 2) (tan.f64 (*.f64 (PI.f64) l))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F 2))))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) F))) 1)
(*.f64 (PI.f64) (/.f64 1 F))
(*.f64 (/.f64 (PI.f64) F) 1)
(*.f64 1 (/.f64 (PI.f64) F))
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(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 l F)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 l F)))))
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(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 l F))))
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(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
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(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))) 2)
(pow.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 F 3/2) l)) -1)
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (neg.f64 (sqrt.f64 F))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -1/2) 3) (pow.f64 (*.f64 (PI.f64) (/.f64 l F)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 l F)) 3) (pow.f64 F 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))) 1))
(exp.f64 (+.f64 (log.f64 (pow.f64 F -1/2)) (log.f64 (*.f64 (PI.f64) (/.f64 l F)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)))) 1)
(/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l))
(/.f64 (PI.f64) (/.f64 (/.f64 F l) (/.f64 1 F)))
(/.f64 (PI.f64) (/.f64 (/.f64 (pow.f64 F 2) l) 1))
(/.f64 l (*.f64 F (/.f64 F (PI.f64))))
(/.f64 l (*.f64 (/.f64 F (PI.f64)) F))
(/.f64 l (/.f64 (pow.f64 F 2) (PI.f64)))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/.f64 1 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)))
(/.f64 1 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))))
(/.f64 1 (*.f64 (/.f64 F (*.f64 (PI.f64) l)) F))
(/.f64 1 (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (pow.f64 F 2) (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 F l) (/.f64 (PI.f64) F)))
(/.f64 1 (/.f64 F (*.f64 (PI.f64) (/.f64 l F))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 F 2) l) (PI.f64)))
(/.f64 1 (/.f64 (sqrt.f64 F) (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))))
(/.f64 (/.f64 1 F) (/.f64 F (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) (sqrt.f64 F))
(/.f64 (pow.f64 F -1/2) (*.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 F 3/2) l)))
(/.f64 -1 (*.f64 (/.f64 F (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 -1 (*.f64 (neg.f64 F) (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 l F))) 2) (/.f64 F (cbrt.f64 (*.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2) (/.f64 (/.f64 F l) (cbrt.f64 (/.f64 (PI.f64) F))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (pow.f64 F 2) (cbrt.f64 (*.f64 (PI.f64) l))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 l F))) (/.f64 F (sqrt.f64 (*.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) F)) (/.f64 (/.f64 F l) (sqrt.f64 (/.f64 (PI.f64) F))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (pow.f64 F 2) (sqrt.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 l) (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) (neg.f64 F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 F) (/.f64 F l)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 (neg.f64 F) l)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 (pow.f64 F 2) l)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 l F)) (neg.f64 F))
(/.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 (neg.f64 F) l))
(/.f64 (*.f64 (neg.f64 (PI.f64)) 1) (*.f64 (neg.f64 F) (/.f64 F l)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) 1) (*.f64 (/.f64 (neg.f64 F) l) F))
(/.f64 (*.f64 (neg.f64 l) 1) (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (neg.f64 (pow.f64 F 2)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (neg.f64 (pow.f64 F 2)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 l)) (*.f64 (neg.f64 F) (neg.f64 F)))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (neg.f64 (pow.f64 F 2)))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (neg.f64 (pow.f64 F 2)))
(/.f64 (*.f64 (neg.f64 l) (neg.f64 (PI.f64))) (*.f64 (neg.f64 F) (neg.f64 F)))
(/.f64 (*.f64 (PI.f64) -1) (*.f64 (/.f64 F l) (neg.f64 F)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) -1) (*.f64 (/.f64 (neg.f64 F) l) (neg.f64 F)))
(/.f64 (*.f64 -1 (neg.f64 (PI.f64))) (*.f64 (neg.f64 F) (/.f64 (neg.f64 F) l)))
(/.f64 (neg.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F 2)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l))) (neg.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (PI.f64) F) (sqrt.f64 (/.f64 F l))) (sqrt.f64 (/.f64 F l)))
(/.f64 (/.f64 (/.f64 (PI.f64) F) 1) (/.f64 F l))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) 1) F)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(/.f64 (*.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 l F)) (pow.f64 F -1/2)) (neg.f64 (sqrt.f64 F)))
(/.f64 (*.f64 (PI.f64) (pow.f64 F -1/2)) (/.f64 (pow.f64 F 3/2) l))
(/.f64 (*.f64 (pow.f64 F -1/2) (PI.f64)) (/.f64 (pow.f64 F 3/2) l))
(/.f64 (*.f64 (pow.f64 F -1/2) (*.f64 (neg.f64 (PI.f64)) (/.f64 l F))) (neg.f64 (sqrt.f64 F)))
(/.f64 (*.f64 (/.f64 l F) (neg.f64 (PI.f64))) (neg.f64 F))
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 l F)) -1) (neg.f64 F))
(/.f64 (*.f64 (/.f64 1 F) (neg.f64 (PI.f64))) (/.f64 (neg.f64 F) l))
(/.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) F)) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) 1) (pow.f64 F 2))
(/.f64 (/.f64 (*.f64 (PI.f64) l) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 (PI.f64) F) F) (/.f64 1 l))
(/.f64 (/.f64 (/.f64 (PI.f64) F) (pow.f64 (cbrt.f64 (/.f64 F l)) 2)) (cbrt.f64 (/.f64 F l)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) 1) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) (cbrt.f64 F)) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) (pow.f64 F 1/4)) (pow.f64 F 1/4))
(pow.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) l)) F) 2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (pow.f64 F 4)))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) 3) (pow.f64 (pow.f64 F -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -1/2) 3) (pow.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 F 3/2) l)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2))) 1))

eval516.0ms (3.4%)

Compiler

Compiled 28135 to 8714 computations (69% saved)

prune143.0ms (0.9%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New166951674
Fresh448
Picked235
Done055
Total1675171692
Accuracy
99.8%
Counts
1692 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
74.0%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
81.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
81.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
81.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 (PI.f64) l))))
81.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
75.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
81.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
81.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
57.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F))))
81.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
81.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 1 F)) (/.f64 1 F)))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))
80.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l))))
73.8%
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 971 to 428 computations (55.9% saved)

regimes196.0ms (1.3%)

Counts
49 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 1 F)) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (*.f64 l (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (/.f64 (PI.f64) F)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 -1 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 F -1/2) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) (sqrt.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (*.f64 2 (log.f64 F)) -1)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 -2 (log.f64 F))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))
(fma.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (-.f64 (exp.f64 (exp.f64 (log.f64 (log1p.f64 (pow.f64 F -2))))) 1) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(*.f64 (pow.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) 2) (/.f64 1 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (-.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (*.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 l (PI.f64))
Calls

6 calls:

48.0ms
l
45.0ms
(*.f64 (PI.f64) l)
38.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
25.0ms
F
24.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
87.4%1F
99.4%2l
92.5%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.4%2(*.f64 (PI.f64) l)
87.4%1(/.f64 1 (*.f64 F F))
87.4%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes44.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 1 F)) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (*.f64 l (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (/.f64 (PI.f64) F)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(*.f64 l (PI.f64))
Calls

2 calls:

23.0ms
l
20.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.4%2l
99.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (/.f64 F l)) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 1 F)) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (*.f64 l (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (/.f64 (PI.f64) F)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

2 calls:

18.0ms
(*.f64 (PI.f64) l)
18.0ms
l
Results
AccuracySegmentsBranch
98.9%2l
98.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
Calls

2 calls:

16.0ms
l
3.0ms
F
Results
AccuracySegmentsBranch
74.2%1F
74.2%1l
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
110299283.57224843
4202078086933974.5
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
110299283.57224843
4202078086933974.5
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Stop Event
fuel
Steps
TimeLeftRight
0.0ms
110299283.57224843
4202078086933974.5
Compiler

Compiled 96 to 58 computations (39.6% saved)

soundness1.7s (11.4%)

Rules
1958×fma-define
1032×fma-neg
910×div-sub
860×times-frac
786×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022283
1331269
24732269
034415
197365
2251357
3791357
41936357
52739357
63751357
74184357
84893357
94962357
105006357
115038357
125182357
135342357
145524357
155526357
165528357
175540357
185540357
033428
1529397
27477397
022283
1331269
24732269
Stop Event
node limit
node limit
saturated
node limit
Compiler

Compiled 450 to 137 computations (69.6% saved)

end0.0ms (0%)

preprocess52.0ms (0.3%)

Remove

(abs F)

Compiler

Compiled 474 to 246 computations (48.1% saved)

Profiling

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