Details

Time bar (total: 2.2min)

analyze17.8s (13.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
0%99.8%0.2%13
0%99.8%0.2%14
Compiler

Compiled 184 to 125 computations (32.1% saved)

sample860.0ms (0.7%)

Algorithm
1×intervals
Results
296.0ms59×body1024valid
153.0ms32×body1024invalid
103.0ms151×body128valid
82.0ms23×body512valid
55.0ms7×body2048valid
42.0ms13×body512invalid
42.0ms62×body128invalid
29.0ms16×body256valid
18.0ms9×body256invalid
Compiler

Compiled 367 to 254 computations (30.8% saved)

simplify142.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05020283

prune19.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
63.3b
Counts
2 → 1
Compiler

Compiled 361 to 244 computations (32.4% saved)

localize72.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
48.0b
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))

rewrite7.7s (5.8%)

Algorithm
1×rewrite-expression-head
Error
63.1b
Rules
198×times-frac_binary64_766
130×add-exp-log_binary64_798
63×add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
58×prod-exp_binary64_809
49×div-exp_binary64_811
44×distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717
37×add-cbrt-cube_binary64_796
29×sqrt-div_binary64_777
22×sqrt-prod_binary64_776
17×associate-*r/_binary64_702 distribute-neg-frac_binary64_724 associate-/l/_binary64_707
16×frac-add_binary64_768
14×div-inv_binary64_757
13×cbrt-undiv_binary64_794 cbrt-unprod_binary64_793 unpow-prod-down_binary64_839 unpow2_binary64_825 sqr-pow_binary64_732
12×pow-exp_binary64_828 flip3-+_binary64_763 flip-+_binary64_734 associate-/l*_binary64_705
11×neg-mul-1_binary64_756
10×associate-*l/_binary64_703 associate-/r*_binary64_704
8×frac-times_binary64_770
6×pow-to-exp_binary64_829
4×pow1_binary64_821 add-log-exp_binary64_799
1×frac-2neg_binary64_771 neg-sub0_binary64_755 div-sub_binary64_765 clear-num_binary64_759 distribute-frac-neg_binary64_723 associate-/r/_binary64_706
Counts
4 → 225
Calls

4 calls:

30.0ms
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 70937 to 45015 computations (36.5% saved)

series50.7s (38.7%)

Error
50.3b
Counts
4 → 25
Calls

4 calls:

50.3s
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
48.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
46.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
44.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 37101 to 27193 computations (26.7% saved)

simplify713.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0522790595

prune6.9s (5.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New23515250
Fresh000
Picked101
Done000
Total23615251
Error
49.9b
Counts
251 → 15
Compiler

Compiled 73034 to 43002 computations (41.1% saved)

localize46.0ms (0%)

Local error

Found 4 expressions with local error:

24.2b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.6b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.6b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.6b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))

rewrite136.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Error
49.9b
Rules
4×pow1_binary64_821 add-log-exp_binary64_799 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
Counts
4 → 28
Calls

4 calls:

3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2660 to 1685 computations (36.7% saved)

series170.0ms (0.1%)

Error
49.8b
Counts
4 → 12
Calls

4 calls:

33.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
32.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
30.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
30.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 3160 to 2216 computations (29.9% saved)

simplify169.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (156.0ms)

IterNodesCost
05187487

prune257.0ms (0.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New36440
Fresh01414
Picked101
Done000
Total371855
Error
49.8b
Counts
55 → 18
Compiler

Compiled 5737 to 3763 computations (34.4% saved)

localize45.0ms (0%)

Local error

Found 4 expressions with local error:

24.2b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.2b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.6b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.6b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))

rewrite136.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Error
49.8b
Rules
4×pow1_binary64_821 add-log-exp_binary64_799 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
Counts
4 → 28
Calls

4 calls:

3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2520 to 1629 computations (35.4% saved)

series169.0ms (0.1%)

Error
49.8b
Counts
4 → 12
Calls

4 calls:

33.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
31.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
31.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
30.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2992 to 2147 computations (28.2% saved)

simplify166.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (155.0ms)

IterNodesCost
05187494

prune259.0ms (0.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New35540
Fresh01717
Picked101
Done000
Total362258
Error
49.8b
Counts
58 → 22
Compiler

Compiled 5884 to 3943 computations (33% saved)

localize43.0ms (0%)

Local error

Found 4 expressions with local error:

24.2b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.2b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.2b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
24.6b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))

rewrite125.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Error
49.8b
Rules
4×pow1_binary64_821 add-log-exp_binary64_799 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
Counts
4 → 28
Calls

4 calls:

3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
2.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2380 to 1573 computations (33.9% saved)

series162.0ms (0.1%)

Error
49.8b
Counts
4 → 12
Calls

4 calls:

32.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
30.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
30.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
29.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2824 to 2078 computations (26.4% saved)

simplify168.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (157.0ms)

IterNodesCost
05187501

prune152.0ms (0.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New36440
Fresh41721
Picked101
Done000
Total412162
Error
49.8b
Counts
62 → 21
Compiler

Compiled 3260 to 2156 computations (33.9% saved)

regimes6.8s (5.2%)

Accuracy

Total 8.1b remaining (14.1%)

Threshold costs 0b (0%)

Compiler

Compiled 144616 to 98620 computations (31.8% saved)

bsearch195.0ms (0.1%)

Steps
ItersRangePoint
3
2.6908683492639384e-302
3.428703064059668e-302
3.382588394384935e-302
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093260
193260

end0.0ms (0%)

sample37.0s (28.2%)

Algorithm
1×intervals
Results
9.7s1912×body1024valid
4.8s958×body1024invalid
3.2s4537×body128valid
3.0s917×body512valid
1.6s472×body512invalid
1.4s196×body2048valid
1.2s1759×body128invalid
806.0ms437×body256valid
466.0ms226×body256invalid
22.0ms1×body4096valid
Compiler

Compiled 15676 to 10724 computations (31.6% saved)

Profiling

Loading profile data...