Details

Time bar (total: 2.8s)

analyze767.0ms

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
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
25%74.9%0.1%8
25%74.9%0.1%9
25%64%11.1%10
31.2%54.6%14.2%11
39%44.1%16.9%12
39%41.5%19.5%13
42.9%37%20.1%14

sample90.0ms

Algorithm
intervals
Results
19.0ms43×body1280valid
14.0ms32×body1280invalid
11.0ms28×body640invalid
11.0ms35×body640valid
11.0ms146×body80valid
6.0ms25×body320valid
3.0ms12×body320invalid
1.0ms16×body80invalid
1.0msbody160invalid
1.0msbody160valid

simplify335.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
010620
110620

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
0.2b
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
0.5b
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_2480
38×times-frac_binary64_2490
32×*-un-lft-identity_binary64_2495 add-cube-cbrt_binary64_2466
22×sqrt-prod_binary64_2474 associate-*r*_binary64_2554
10×add-exp-log_binary64_2459 add-cbrt-cube_binary64_2467
associate-/r*_binary64_2558
add-log-exp_binary64_2460 pow1_binary64_2437
associate-*l*_binary64_2555 associate-/l*_binary64_2559 unswap-sqr_binary64_2523
div-exp_binary64_2444 flip-+_binary64_2520 cbrt-unprod_binary64_2464 flip3-+_binary64_2493 prod-exp_binary64_2442 associate-/l/_binary64_2561 cbrt-undiv_binary64_2465 div-inv_binary64_2496
clear-num_binary64_2498 pow-prod-down_binary64_2418 +-commutative_binary64_2562 associate-*r/_binary64_2556 sum-log_binary64_2405 *-commutative_binary64_2563 frac-2neg_binary64_2488
Counts
3 → 94
Calls
3 calls:
5.0ms
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
14.0ms
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
230.0ms
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))

series1.2s

Counts
3 → 9
Calls
3 calls:
313.0ms
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
471.0ms
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
421.0ms
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
Iterations

Useful iterations: 0 (169.0ms)

IterNodesCost
02782633
12782633
048652414
148652414
02782633
12782633
048652414
148652414
048432461
148432461
0763711
1763711
055803627
0763711
1763711
055803627
054123695
0862446
1862446
0232250
1232250
0862446
1862446
0232250
1232250
051571709

simplify132.0ms

Counts
103 → 103
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0550310061

prune31.0ms

Filtered
76 candidates to 103 candidates (-35.5%)

Profiling

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