Details

Time bar (total: 5.5s)

analyze731.0ms (13.3%)

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)

sample73.0ms (1.3%)

Algorithm
1×intervals
Results
21.0ms22×body2560valid
20.0ms41×body1280valid
9.0ms134×body80valid
8.0ms28×body640valid
5.0ms22×body320valid
2.0ms9×body160valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01420
11420

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.8b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

9.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.7b
(sin.f64 (/.f64 x (*.f64 y 2)))
28.1b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite15.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
2×tan-quot_binary64
1×associate-/l/_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 43
Calls

3 calls:

9.0ms
(/.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)))

series36.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
14.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify70.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050351144

prune102.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New371552
Fresh000
Picked101
Done000
Total381553

Merged error: 25.1b

Counts
53 → 15
Compiler

Compiled 1406 to 1050 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

simplify14.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune28.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515

Merged error: 25.1b

Counts
15 → 15
Compiler

Compiled 370 to 300 computations (18.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.1b
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
27.3b
(cos.f64 (/.f64 x (*.f64 y 2)))
27.7b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.7b
(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite16.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×add-exp-log_binary64 add-cbrt-cube_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 pow1_binary64
3×associate-/l*_binary64 times-frac_binary64
2×cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 cbrt-unprod_binary64 associate-/r/_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 sin-cos-mult_binary64 div-inv_binary64
Counts
4 → 43
Calls

4 calls:

8.0ms
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series22.0ms (0.4%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify144.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
04741830
14741830

prune87.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New47855
Fresh4913
Picked101
Done011
Total521870

Merged error: 25.1b

Counts
70 → 18
Compiler

Compiled 1605 to 1195 computations (25.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
27.3b
(cos.f64 (/.f64 x (*.f64 y 2)))
27.3b
(cos.f64 (/.f64 x (*.f64 y 2)))
27.3b
(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite26.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
80×cbrt-prod_binary64
76×add-sqr-sqrt_binary64
52×times-frac_binary64
46×*-un-lft-identity_binary64
36×add-cube-cbrt_binary64
18×swap-sqr_binary64
16×associate-*r*_binary64 associate-*l*_binary64 unswap-sqr_binary64
11×pow1_binary64
6×pow1/3_binary64 add-exp-log_binary64 div-inv_binary64
4×cbrt-div_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 108
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
3.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
3.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

series48.0ms (0.9%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

simplify109.0ms (2%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049483493
149483493

prune201.0ms (3.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1128120
Fresh61016
Picked101
Done011
Total11919138

Merged error: 24.9b

Counts
138 → 19
Compiler

Compiled 4395 to 3542 computations (19.4% saved)

regimes262.0ms (4.8%)

Compiler

Compiled 2212 to 1846 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
041
141

end0.0ms (0%)

sample3.5s (63%)

Algorithm
1×intervals
Results
688.0ms1385×body1280valid
651.0ms668×body2560valid
306.0ms983×body640valid
290.0ms4077×body80valid
134.0ms594×body320valid
50.0ms293×body160valid
Compiler

Compiled 595 to 498 computations (16.3% saved)

Profiling

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