Details

Time bar (total: 9.6s)

analyze1.2s (12.5%)

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)

sample84.0ms (0.9%)

Algorithm
1×intervals
Results
24.0ms38×body2048valid
20.0ms39×body1024valid
13.0ms42×body512valid
13.0ms122×body128valid
3.0ms15×body256valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify124.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01420
11420

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
36.4b
Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

4.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
31.0b
(sin.f64 (/.f64 x (*.f64 y 2)))
31.8b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite27.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
11×add-cube-cbrt_binary64_11707 add-sqr-sqrt_binary64_11694 *-un-lft-identity_binary64_11672
9×times-frac_binary64_11678
5×add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
3×pow1_binary64_11733 add-log-exp_binary64_11711 associate-/r*_binary64_11616 associate-/l*_binary64_11617
2×tan-quot_binary64_11831
1×cbrt-undiv_binary64_11706 div-exp_binary64_11723 clear-num_binary64_11671 frac-2neg_binary64_11683 div-inv_binary64_11669 associate-/l/_binary64_11619
Counts
3 → 43
Calls

3 calls:

11.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
5.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series181.0ms (1.9%)

Counts
3 → 9
Calls

3 calls:

97.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
72.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
12.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify85.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
051461144

prune125.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New371552
Fresh000
Picked101
Done000
Total381553
Error
29.5b
Counts
53 → 15
Compiler

Compiled 1383 to 1033 computations (25.3% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune29.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515
Error
29.5b
Counts
15 → 15
Compiler

Compiled 347 to 283 computations (18.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(pow.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 3)
4.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
31.0b
(sin.f64 (/.f64 x (*.f64 y 2)))
31.8b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite37.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
27×add-cube-cbrt_binary64_11707 add-sqr-sqrt_binary64_11694 *-un-lft-identity_binary64_11672 times-frac_binary64_11678
13×cube-prod_binary64_11700 unpow-prod-down_binary64_11751
9×add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
5×pow1_binary64_11733
4×add-log-exp_binary64_11711
3×associate-/r*_binary64_11616 div-inv_binary64_11669 pow-unpow_binary64_11749 associate-/l*_binary64_11617
2×pow-exp_binary64_11740 cbrt-undiv_binary64_11706 div-exp_binary64_11723 rem-cube-cbrt_binary64_11695 tan-quot_binary64_11831
1×cube-div_binary64_11701 unpow3_binary64_11738 pow-to-exp_binary64_11741 clear-num_binary64_11671 cube-mult_binary64_11702 sqr-pow_binary64_11644 pow-pow_binary64_11744 frac-2neg_binary64_11683 associate-/l/_binary64_11619
Counts
4 → 89
Calls

4 calls:

11.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
8.0ms
(pow.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 3)
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series349.0ms (3.6%)

Counts
4 → 12
Calls

4 calls:

152.0ms
(pow.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 3)
88.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
87.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
22.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify101.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
055202665

prune207.0ms (2.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New956101
Fresh31013
Picked101
Done011
Total9917116
Error
29.5b
Counts
116 → 17
Compiler

Compiled 2870 to 2204 computations (23.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.6b
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
31.0b
(sin.f64 (/.f64 x (*.f64 y 2)))
31.0b
(sin.f64 (/.f64 x (*.f64 y 2)))
31.8b
(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite54.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_11678
46×add-cube-cbrt_binary64_11707 add-sqr-sqrt_binary64_11694 *-un-lft-identity_binary64_11672
13×associate-/l*_binary64_11617
9×add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
5×div-inv_binary64_11669
4×pow1_binary64_11733 add-log-exp_binary64_11711
3×cbrt-undiv_binary64_11706 div-exp_binary64_11723 associate-/r*_binary64_11616
1×clear-num_binary64_11671 frac-2neg_binary64_11683 associate-/l/_binary64_11619
Counts
4 → 91
Calls

4 calls:

19.0ms
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series78.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
17.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
14.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
14.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify164.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
049313321
149313321

prune273.0ms (2.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New9211103
Fresh8715
Picked101
Done011
Total10119120
Error
29.4b
Counts
120 → 19
Compiler

Compiled 2941 to 2161 computations (26.5% saved)

regimes1.3s (13.7%)

Accuracy

Total 2.2b remaining (7.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8731 to 7113 computations (18.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
031
131

end0.0ms (0%)

sample5.1s (53.1%)

Algorithm
1×intervals
Results
799.0ms1147×body2048valid
652.0ms1353×body1024valid
462.0ms4177×body128valid
291.0ms863×body512valid
109.0ms454×body256valid
16.0ms6×body4096valid
Compiler

Compiled 1784 to 1456 computations (18.4% saved)

Profiling

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