Details

Time bar (total: 4.6s)

analyze24.0ms (0.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
24.8%0.2%75%13
24.9%0.1%75%14
Compiler

Compiled 20 to 14 computations (30% saved)

sample3.0s (64.9%)

Results
1.5s2061×body1024valid
773.0ms4620×body128valid
460.0ms1050×body512valid
163.0ms522×body256valid
4.0ms3×body2048valid
Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
2×fma-def_binary64
1×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11715
22315
32615
42715
52615

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 47 to 28 computations (40.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
✓0.1b
(*.f64 e (sin.f64 v))

series40.0ms (0.9%)

Counts
2 → 28
Calls

2 calls:

31.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
9.0ms
(*.f64 e (sin.f64 v))

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×add-cbrt-cube_binary64
9×add-exp-log_binary64
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
3.0ms
(*.f64 e (sin.f64 v))

simplify72.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
590×associate-/r*_binary64
466×fma-def_binary64
433×fma-neg_binary64
287×associate-/r/_binary64
260×associate-/l/_binary64
Counts
71 → 79
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751682
14751537
219111497
347951497
450521497

prune80.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71879
Fresh000
Picked101
Done000
Total72880
Error
0.0b
Counts
80 → 8
Alt Table
StatusErrorProgram
31.5b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.1b
(/.f64 (*.f64 (*.f64 e (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (cbrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
0.4b
(/.f64 (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.2b
(/.f64 (*.f64 (*.f64 (cbrt.f64 e) (cbrt.f64 e)) (*.f64 (cbrt.f64 e) (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.1b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (cbrt.f64 (*.f64 e (sin.f64 v)))) (cbrt.f64 (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
▶0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
29.8b
(/.f64 (-.f64 (+.f64 (*.f64 v e) (*.f64 1/120 (*.f64 (pow.f64 v 5) e))) (*.f64 1/6 (*.f64 (pow.f64 v 3) e))) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 2065 to 1090 computations (47.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

series63.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

33.0ms
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
30.0ms
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))

rewrite13.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 63
Calls

2 calls:

5.0ms
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
4.0ms
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))

simplify98.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
646×fma-def_binary64
406×fma-neg_binary64
299×cancel-sign-sub-inv_binary64
215×associate-/l/_binary64
174×associate-*r*_binary64
Counts
111 → 127
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02433054
16712888
226042844
346302844
450152844

prune122.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1252127
Fresh257
Picked011
Done000
Total1278135
Error
0b
Counts
135 → 8
Alt Table
StatusErrorProgram
8.3b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
0.4b
(/.f64 (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
31.5b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.1b
(/.f64 (*.f64 (*.f64 e (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (cbrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
▶0.2b
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
✓0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
29.8b
(/.f64 (-.f64 (+.f64 (*.f64 v e) (*.f64 1/120 (*.f64 (pow.f64 v 5) e))) (*.f64 1/6 (*.f64 (pow.f64 v 3) e))) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 3394 to 1830 computations (46.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓0.1b
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
✓0.2b
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
✓0.2b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))

series116.0ms (2.5%)

Counts
3 → 72
Calls

3 calls:

51.0ms
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
33.0ms
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
30.0ms
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))

rewrite5.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64
5×*-un-lft-identity_binary64
5×add-cube-cbrt_binary64
5×add-cbrt-cube_binary64
5×add-exp-log_binary64
Counts
3 → 42
Calls

3 calls:

3.0ms
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
0.0ms
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
0.0ms
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))

simplify95.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
541×cancel-sign-sub-inv_binary64
283×associate-*r*_binary64
280×fma-neg_binary64
242×sub-neg_binary64
225×unswap-sqr_binary64
Counts
114 → 132
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02973924
18923773
236813737
352453737

prune187.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1880188
Fresh066
Picked011
Done011
Total1888196
Error
0b
Counts
196 → 8
Alt Table
StatusErrorProgram
8.3b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
0.4b
(/.f64 (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
31.5b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.1b
(/.f64 (*.f64 (*.f64 e (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (cbrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
✓0.2b
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
▶0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
✓0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
29.8b
(/.f64 (-.f64 (+.f64 (*.f64 v e) (*.f64 1/120 (*.f64 (pow.f64 v 5) e))) (*.f64 1/6 (*.f64 (pow.f64 v 3) e))) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 5861 to 3368 computations (42.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
✓0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))

series53.0ms (1.2%)

Counts
2 → 48
Calls

2 calls:

33.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
20.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite16.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 101
Calls

2 calls:

4.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
2.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

simplify123.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
565×associate-/r/_binary64
530×fma-def_binary64
425×associate-/l/_binary64
345×fma-neg_binary64
299×cancel-sign-sub-inv_binary64
Counts
149 → 181
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02854112
17113934
225363870
350003870
452073870

prune156.0ms (3.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1801181
Fresh145
Picked011
Done112
Total1827189
Error
0b
Counts
189 → 7
Alt Table
StatusErrorProgram
8.3b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
0.4b
(/.f64 (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.1b
(/.f64 (*.f64 (*.f64 e (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (cbrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
✓0.2b
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
✓0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
0.8b
(/.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e))
29.8b
(/.f64 (-.f64 (+.f64 (*.f64 v e) (*.f64 1/120 (*.f64 (pow.f64 v 5) e))) (*.f64 1/6 (*.f64 (pow.f64 v 3) e))) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 4242 to 2055 computations (51.6% saved)

regimes175.0ms (3.8%)

Accuracy

Total 0.1b remaining (78%)

Threshold costs 0.1b (78%)

Counts
63 → 1
Compiler

Compiled 2762 to 1829 computations (33.8% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11517
21417

end111.0ms (2.4%)

Compiler

Compiled 145 to 97 computations (33.1% saved)

Profiling

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