Details

Time bar (total: 5.1s)

analyze729.0ms (14.3%)

Algorithm
1×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
0%99.9%0.1%6
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample54.0ms (1.1%)

Algorithm
1×intervals
Results
15.0ms32×body2048valid
11.0ms143×body128valid
10.0ms32×body1024valid
8.0ms34×body512valid
3.0ms15×body256valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify93.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01420
11420

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
33.8b
Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

6.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.1b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite12.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504 add-sqr-sqrt_binary64_17491
9×times-frac_binary64_17475
5×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
3×associate-/l*_binary64_17414 associate-/r*_binary64_17413 add-log-exp_binary64_17508 pow1_binary64_17530
2×tan-quot_binary64_17628
1×associate-/l/_binary64_17416 frac-2neg_binary64_17480 clear-num_binary64_17468 div-exp_binary64_17520 cbrt-undiv_binary64_17503 div-inv_binary64_17466
Counts
3 → 43
Calls

3 calls:

5.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series127.0ms (2.5%)

Counts
3 → 9
Calls

3 calls:

63.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
52.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
11.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify59.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051461144

prune94.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New401252
Fresh000
Picked101
Done000
Total411253
Error
25.3b
Counts
53 → 12
Compiler

Compiled 1325 to 985 computations (25.7% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune16.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212
Error
25.3b
Counts
12 → 12
Compiler

Compiled 289 to 235 computations (18.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

27.1b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite13.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504 add-exp-log_binary64_17507 add-sqr-sqrt_binary64_17491 add-log-exp_binary64_17508 pow1_binary64_17530 add-cbrt-cube_binary64_17505
3×tan-quot_binary64_17628
Counts
4 → 31
Calls

4 calls:

2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series165.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

57.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
50.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
47.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
11.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify95.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04953550
14953550

prune113.0ms (2.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New41243
Fresh2810
Picked011
Done011
Total431255
Error
25.2b
Counts
55 → 12
Compiler

Compiled 2388 to 1767 computations (26% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

27.1b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))
27.4b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite75.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
4×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504 add-exp-log_binary64_17507 add-sqr-sqrt_binary64_17491 add-log-exp_binary64_17508 pow1_binary64_17530 add-cbrt-cube_binary64_17505
3×tan-quot_binary64_17628
Counts
4 → 31
Calls

4 calls:

2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series163.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
47.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
46.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
15.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify96.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04953550
14953550

prune109.0ms (2.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New41243
Fresh099
Picked011
Done022
Total411455
Error
25.2b
Counts
55 → 14
Compiler

Compiled 2210 to 1649 computations (25.4% saved)

regimes374.0ms (7.3%)

Accuracy

Total 2.5b remaining (9%)

Threshold costs 0b (0%)

Compiler

Compiled 4816 to 3863 computations (19.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
031
131

end0.0ms (0%)

sample2.7s (52.1%)

Algorithm
1×intervals
Results
529.0ms1116×body2048valid
407.0ms1277×body1024valid
334.0ms4353×body128valid
185.0ms803×body512valid
78.0ms448×body256valid
3.0ms3×body4096valid
Compiler

Compiled 1001 to 806 computations (19.5% saved)

Profiling

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