Details

Time bar (total: 7.5s)

analyze50.0ms (0.7%)

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 17 to 12 computations (29.4% saved)

sample89.0ms (1.2%)

Algorithm
intervals
Results
32.0ms61×body1024valid
18.0ms144×body128valid
18.0ms32×body512valid
5.0ms256×pre128true
4.0ms19×body256valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify10.0ms (0.1%)

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

prune3.0ms (0%)

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)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite10.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
3 → 52
Calls

3 calls:

4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
3.0ms
(*.f64 e (sin.f64 v))
1.0ms
(sin.f64 v)

series82.0ms (1.1%)

Counts
3 → 32
Calls

3 calls:

54.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
27.0ms
(*.f64 e (sin.f64 v))
1.0ms
(sin.f64 v)

simplify97.0ms (1.3%)

Algorithm
egg-herbie
Rules
590×associate-/r*_binary64
500×fma-def_binary64
460×fma-neg_binary64
310×cancel-sign-sub-inv_binary64
287×associate-/r/_binary64
Counts
84 → 127
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01861794
15021638
219851594
349071594
451781594

prune125.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1198127
Fresh000
Picked101
Done000
Total1208128
Error
0.0b
Counts
128 → 8
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (fma.f64 e (cos.f64 v) 1))
23.1b
(/.f64 (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
0.1b
(/.f64 (*.f64 e (log1p.f64 (expm1.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)))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
46.0b
(log.f64 (exp.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))
30.1b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.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))
Compiler

Compiled 2211 to 1169 computations (47.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
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)))

rewrite15.0ms (0.2%)

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:

9.0ms
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
3.0ms
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))

series103.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

61.0ms
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
42.0ms
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))

simplify134.0ms (1.8%)

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 → 183
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02433054
16712888
226042844
346302844
450152844

prune143.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh077
Picked011
Done000
Total2008208
Error
0.0b
Counts
208 → 8
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (fma.f64 e (cos.f64 v) 1))
23.1b
(/.f64 (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
0.1b
(/.f64 (*.f64 e (log1p.f64 (expm1.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)))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
46.0b
(log.f64 (exp.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))
30.1b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.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))
Compiler

Compiled 3616 to 1946 computations (46.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
4 → 65
Calls

4 calls:

23.0ms
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
3.0ms
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
0.0ms
(expm1.f64 (sin.f64 v))
0.0ms
(log1p.f64 (expm1.f64 (sin.f64 v)))

series1.4s (18.4%)

Counts
4 → 72
Calls

4 calls:

783.0ms
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
326.0ms
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
263.0ms
(log1p.f64 (expm1.f64 (sin.f64 v)))
3.0ms
(expm1.f64 (sin.f64 v))

simplify111.0ms (1.5%)

Algorithm
egg-herbie
Rules
560×fma-def_binary64
510×fma-neg_binary64
348×cancel-sign-sub-inv_binary64
287×associate-/r/_binary64
260×associate-/l/_binary64
Counts
137 → 252
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02112124
15511951
221191905
344631905
450091905

prune159.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2520252
Fresh066
Picked011
Done011
Total2528260
Error
0.0b
Counts
260 → 8
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (fma.f64 e (cos.f64 v) 1))
23.1b
(/.f64 (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
0.1b
(/.f64 (*.f64 e (log1p.f64 (expm1.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)))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
46.0b
(log.f64 (exp.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))
30.1b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.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))
Compiler

Compiled 3135 to 1484 computations (52.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
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)))

rewrite13.0ms (0.2%)

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:

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))

series107.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

56.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
51.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

simplify173.0ms (2.3%)

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 → 250
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02854112
17113934
225363870
350003870
452073870

prune209.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2813284
Fresh235
Picked101
Done022
Total2848292
Error
0b
Counts
292 → 8
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (fma.f64 e (cos.f64 v) 1))
0.1b
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
30.1b
(/.f64 e (*.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))
7.9b
(/.f64 e (cbrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 e (cos.f64 v) 1) (fma.f64 e (cos.f64 v) 1)) (fma.f64 e (cos.f64 v) 1)) (*.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (sin.f64 v)))))
7.9b
(/.f64 e (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3)))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
46.0b
(log.f64 (exp.f64 (/.f64 (*.f64 e (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))
Compiler

Compiled 4519 to 2203 computations (51.3% saved)

regimes333.0ms (4.5%)

Accuracy

Total 0.1b remaining (75.1%)

Threshold costs 0.1b (75.1%)

Compiler

Compiled 3275 to 2096 computations (36% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11517
21417

end1.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.0s (54.2%)

Algorithm
intervals
Results
1.6s1883×body1024valid
884.0ms4561×body128valid
441.0ms1064×body512valid
297.0ms8000×pre128true
146.0ms486×body256valid
9.0msbody2048valid
Compiler

Compiled 172 to 114 computations (33.7% saved)

Profiling

Loading profile data...