Details

Time bar (total: 1.4s)

analyze466.0ms

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
25%74.9%0.1%5
25%74.9%0.1%6
25%68.6%6.4%7
31.2%62.4%6.4%8
36.7%54.6%8.7%9
38.2%48.4%13.4%10
42.7%42.3%15%11
47.8%34.1%18.1%12
49.1%30.3%20.5%13
51.9%25.8%22.3%14

sample51.0ms

Algorithm
intervals
Results
10.0ms40×body1280valid
10.0ms31×body2560valid
9.0ms164×body80valid
3.0ms13×body640valid
1.0ms30×body80nan
1.0ms19×body80invalid
1.0msbody320valid
0.0msbody5120valid
0.0msbody160valid

simplify443.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (305.0ms)

IterNodesCost
0180224
1180224

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 35.4b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
1.0b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
1.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
23.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_2485
13×*-un-lft-identity_binary64_2500
add-exp-log_binary64_2464 add-cbrt-cube_binary64_2472
add-log-exp_binary64_2465
add-cube-cbrt_binary64_2471
sqrt-prod_binary64_2479 difference-of-squares_binary64_2529 associate-/l*_binary64_2564 times-frac_binary64_2495
pow1_binary64_2446
flip--_binary64_2526 flip3--_binary64_2499
distribute-lft-out--_binary64_2545
associate-/l/_binary64_2566 diff-log_binary64_2416 div-exp_binary64_2453 sub-neg_binary64_2504 cbrt-undiv_binary64_2470 sqrt-div_binary64_2480
div-sub_binary64_2494 pow1/2_binary64_2436 frac-2neg_binary64_2493 sqrt-pow1_binary64_2481 div-inv_binary64_2501 associate-/r*_binary64_2563 rem-sqrt-square_binary64_2488 prod-exp_binary64_2451 clear-num_binary64_2503 cbrt-unprod_binary64_2469
Counts
4 → 70
Calls
4 calls:
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
61.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
67.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050531979

prune24.0ms

Filtered
62 candidates to 82 candidates (-32.3%)

Profiling

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