Details

Time bar (total: 6.9s)

analyze715.0ms (10.3%)

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)

sample63.0ms (0.9%)

Algorithm
1×intervals
Results
22.0ms30×body2048valid
13.0ms34×body1024valid
11.0ms146×body128valid
7.0ms31×body512valid
3.0ms15×body256valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify174.0ms (2.5%)

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

Merged error: 36.9b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

9.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.2b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.6b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite14.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_20053 add-cube-cbrt_binary64_20066 *-un-lft-identity_binary64_20031
9×times-frac_binary64_20037
5×add-exp-log_binary64_20069 add-cbrt-cube_binary64_20067
3×add-log-exp_binary64_20070 associate-/r*_binary64_19975 pow1_binary64_20092 associate-/l*_binary64_19976
2×tan-quot_binary64_20190
1×frac-2neg_binary64_20042 cbrt-undiv_binary64_20065 div-inv_binary64_20028 div-exp_binary64_20082 associate-/l/_binary64_19978 clear-num_binary64_20030
Counts
3 → 43
Calls

3 calls:

6.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
3.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series245.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

125.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
98.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
21.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify108.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
051091144

prune574.0ms (8.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New371552
Fresh000
Picked101
Done000
Total381553

Merged error: 24.8b

Counts
53 → 15
Compiler

Compiled 9393 to 7601 computations (19.1% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune22.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515

Merged error: 24.8b

Counts
15 → 15
Compiler

Compiled 341 to 279 computations (18.2% saved)

localize13.0ms (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)
9.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.2b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.6b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite27.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_20053 add-cube-cbrt_binary64_20066 times-frac_binary64_20037 *-un-lft-identity_binary64_20031
13×unpow-prod-down_binary64_20110 cube-prod_binary64_20059
9×add-exp-log_binary64_20069 add-cbrt-cube_binary64_20067
5×pow1_binary64_20092
4×add-log-exp_binary64_20070
3×associate-/r*_binary64_19975 pow-unpow_binary64_20108 div-inv_binary64_20028 associate-/l*_binary64_19976
2×cbrt-undiv_binary64_20065 pow-exp_binary64_20099 div-exp_binary64_20082 tan-quot_binary64_20190 rem-cube-cbrt_binary64_20054
1×cube-div_binary64_20060 frac-2neg_binary64_20042 pow-to-exp_binary64_20100 unpow3_binary64_20097 cube-mult_binary64_20061 pow-pow_binary64_20103 sqr-pow_binary64_20003 associate-/l/_binary64_19978 clear-num_binary64_20030
Counts
4 → 89
Calls

4 calls:

7.0ms
(pow.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 3)
6.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series423.0ms (6.1%)

Counts
4 → 12
Calls

4 calls:

183.0ms
(pow.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 3)
124.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
97.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
18.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify75.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
054422665

prune333.0ms (4.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New956101
Fresh31013
Picked011
Done011
Total9818116

Merged error: 24.8b

Counts
116 → 18
Compiler

Compiled 5786 to 4616 computations (20.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.6b
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.1b
(cos.f64 (/.f64 x (*.f64 y 2)))
27.2b
(sin.f64 (/.f64 x (*.f64 y 2)))
27.2b
(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite32.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_20037
46×add-sqr-sqrt_binary64_20053 add-cube-cbrt_binary64_20066 *-un-lft-identity_binary64_20031
13×associate-/l*_binary64_19976
9×add-exp-log_binary64_20069 add-cbrt-cube_binary64_20067
5×div-inv_binary64_20028
4×add-log-exp_binary64_20070 pow1_binary64_20092
3×cbrt-undiv_binary64_20065 associate-/r*_binary64_19975 div-exp_binary64_20082
1×frac-2neg_binary64_20042 associate-/l/_binary64_19978 clear-num_binary64_20030
Counts
4 → 91
Calls

4 calls:

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

series114.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
20.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
17.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify113.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
058253321

prune793.0ms (11.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New9112103
Fresh7815
Picked101
Done112
Total10021121

Merged error: 24.7b

Counts
121 → 21
Compiler

Compiled 13838 to 11229 computations (18.9% saved)

regimes276.0ms (4%)

Compiler

Compiled 3208 to 2651 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
11621

end0.0ms (0%)

sample2.8s (40%)

Algorithm
1×intervals
Results
791.0ms1070×body2048valid
484.0ms1247×body1024valid
327.0ms4358×body128valid
205.0ms845×body512valid
82.0ms478×body256valid
5.0ms2×body4096valid
Compiler

Compiled 682 to 565 computations (17.2% saved)

Profiling

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