Details

Time bar (total: 8.0s)

analyze73.0ms (0.9%)

Algorithm
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)

sample141.0ms (1.8%)

Algorithm
intervals
Results
69.0ms71×body1024valid
26.0ms152×body128valid
12.0ms24×body512valid
9.0ms256×pre128true
3.0msbody256valid
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11715
22315
32615
42715
52615

prune5.0ms (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)

localize16.0ms (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))

series82.0ms (1%)

Counts
2 → 28
Calls

2 calls:

67.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
15.0ms
(*.f64 e (sin.f64 v))

rewrite17.0ms (0.2%)

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

2 calls:

7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
6.0ms
(*.f64 e (sin.f64 v))

simplify119.0ms (1.5%)

Algorithm
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

prune154.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780
Error
0.0b
Counts
80 → 7
Alt Table
StatusErrorProgram
0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
29.4b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
29.6b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
0.9b
(/.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))
1.0b
(/.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))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
Compiler

Compiled 2019 to 1052 computations (47.9% saved)

localize15.0ms (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)))

series126.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

66.0ms
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
60.0ms
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))

rewrite24.0ms (0.3%)

Algorithm
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:

11.0ms
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
5.0ms
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))

simplify169.0ms (2.1%)

Algorithm
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

prune232.0ms (2.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1252127
Fresh156
Picked101
Done000
Total1277134
Error
0.0b
Counts
134 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 e (/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
29.6b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
29.4b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
6.9b
(*.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))
1.0b
(/.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))
Compiler

Compiled 3382 to 1806 computations (46.6% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series126.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

66.0ms
(*.f64 e (/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
59.0ms
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1)))

rewrite123.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
201×times-frac_binary64
135×add-sqr-sqrt_binary64
130×*-un-lft-identity_binary64
130×add-cube-cbrt_binary64
126×distribute-lft-neg-in_binary64
Counts
2 → 262
Calls

2 calls:

46.0ms
(*.f64 e (/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
12.0ms
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1)))

simplify366.0ms (4.6%)

Algorithm
egg-herbie
Rules
727×fma-def_binary64
359×associate-/l*_binary64
307×associate-*r*_binary64
289×times-frac_binary64
277×associate-*l*_binary64
Counts
310 → 349
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04268517
111088171
247248153
354048153

prune596.0ms (7.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3481349
Fresh066
Picked011
Done000
Total3488356
Error
0b
Counts
356 → 8
Alt Table
StatusErrorProgram
0.1b
(*.f64 e (/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
29.6b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
29.4b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
6.9b
(*.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))
1.0b
(/.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))
34.8b
(*.f64 (*.f64 e (sqrt.f64 (neg.f64 (sin.f64 v)))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
Compiler

Compiled 9042 to 4477 computations (50.5% saved)

localize16.0ms (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)))

series106.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

66.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
40.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite32.0ms (0.4%)

Algorithm
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:

10.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
5.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

simplify219.0ms (2.8%)

Algorithm
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

prune287.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1801181
Fresh246
Picked011
Done011
Total1827189
Error
0b
Counts
189 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 e (/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
29.6b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
1.0b
(*.f64 (*.f64 (cbrt.f64 e) (cbrt.f64 e)) (/.f64 (cbrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
6.9b
(*.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))
34.8b
(*.f64 (*.f64 e (sqrt.f64 (neg.f64 (sin.f64 v)))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1))))
0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
Compiler

Compiled 4236 to 2048 computations (51.7% saved)

regimes429.0ms (5.4%)

Accuracy

Total 0.1b remaining (80.4%)

Threshold costs 0.1b (80.4%)

Counts
73 → 1
Compiler

Compiled 3719 to 2432 computations (34.6% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
12119
23119
33919
44419
54719
64819
74719

end1.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample4.4s (55.8%)

Algorithm
intervals
Results
1.9s1941×body1024valid
772.0ms4583×body128valid
500.0ms985×body512valid
277.0ms8000×pre128true
173.0ms488×body256valid
6.0msbody2048valid
Compiler

Compiled 149 to 98 computations (34.2% saved)

Profiling

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