Details

Time bar (total: 3.0s)

analyze199.0ms (6.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample52.0ms (1.8%)

Algorithm
intervals
Results
23.0ms256×body128valid
1.0ms17×body128nan
Compiler

Compiled 39 to 35 computations (10.3% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
16×fma-def_binary64
sub-neg_binary64
*-commutative_binary64
+-commutative_binary64
div-sub_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01526
12623
24021
34921
45621
56321
67421
77321
86221

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 61 to 49 computations (19.7% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series37.0ms (1.2%)

Counts
3 → 72
Calls

3 calls:

23.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
8.0ms
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
6.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
11×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
3 → 51
Calls

3 calls:

2.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

simplify127.0ms (4.3%)

Algorithm
egg-herbie
Rules
516×distribute-rgt-in_binary64
515×fma-neg_binary64
508×associate-/l/_binary64
495×distribute-lft-in_binary64
420×distribute-rgt-out_binary64
Counts
123 → 97
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052186
11502070
22462070
34112070
48742070
521992070
646842070
751092070

prune86.0ms (2.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh000
Picked101
Done000
Total97198
Error
1.0b
Counts
98 → 1
Alt Table
StatusErrorProgram
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3)))))
Compiler

Compiled 2023 to 1131 computations (44.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3))
0.0b
(/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3))
0.0b
(fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3)))
1.0b
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3))))

series220.0ms (7.5%)

Counts
4 → 96
Calls

4 calls:

88.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3))))
62.0ms
(fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3)))
57.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3))
14.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3))

rewrite39.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
276×times-frac_binary64
156×*-un-lft-identity_binary64
156×add-sqr-sqrt_binary64
156×add-cube-cbrt_binary64
144×sqrt-prod_binary64
Counts
4 → 242
Calls

4 calls:

9.0ms
(/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3))
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3))
1.0ms
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3))))
0.0ms
(fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3)))

simplify310.0ms (10.5%)

Algorithm
egg-herbie
Rules
692×distribute-rgt-in_binary64
495×associate-/l/_binary64
371×fma-def_binary64
308×*-commutative_binary64
304×fma-neg_binary64
Counts
338 → 325
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02649574
15018985
29008721
318498607
423308600
536498388
649978388

prune273.0ms (9.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New3250325
Fresh000
Picked011
Done000
Total3251326
Error
1.0b
Counts
326 → 1
Alt Table
StatusErrorProgram
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (sqrt.f64 3)) (sqrt.f64 3)))))
Compiler

Compiled 9361 to 5871 computations (37.3% saved)

regimes479.0ms (16.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
60 → 1
Compiler

Compiled 10143 to 8761 computations (13.6% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01628
12328
22728
33028
43128
53128

end1.0ms (0%)

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.1s (36.8%)

Algorithm
intervals
Results
753.0ms8000×body128valid
43.0ms535×body128nan
Compiler

Compiled 59 to 53 computations (10.2% saved)

Profiling

Loading profile data...