Details

Time bar (total: 17.1s)

analyze2.2s (12.7%)

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
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.2%0.1%7
25%73.4%1.7%8
28.1%68.7%3.2%9
31.2%62.8%6%10
32.8%60.1%7.1%11
34.3%56.7%9%12
35.1%55.2%9.7%13
35.9%53.4%10.7%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample166.0ms (1%)

Algorithm
intervals
Results
62.0ms37×body512valid
58.0ms70×body1024valid
24.0ms132×body128valid
6.0ms17×body256valid
1.0msbody128invalid
Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify64.0ms (0.4%)

Algorithm
egg-herbie
Rules
105×fma-def_binary64
66×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
19×sub-neg_binary64
11×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
12414
24814
38114
412214
516814
618714
722914
822614
924414
1024114
1121614

prune7.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Compiler

Compiled 73 to 53 computations (27.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 x (tan.f64 B))

series201.0ms (1.2%)

Counts
3 → 52
Calls

3 calls:

98.0ms
(/.f64 x (tan.f64 B))
89.0ms
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
14.0ms
(/.f64 1 (sin.f64 B))

rewrite133.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
288×times-frac_binary64
239×add-sqr-sqrt_binary64
231×*-un-lft-identity_binary64
222×add-cube-cbrt_binary64
182×prod-diff_binary64
Counts
3 → 295
Calls

3 calls:

36.0ms
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
5.0ms
(/.f64 x (tan.f64 B))
5.0ms
(/.f64 1 (sin.f64 B))

simplify673.0ms (3.9%)

Algorithm
egg-herbie
Rules
908×fma-def_binary64
453×times-frac_binary64
255×fma-neg_binary64
182×associate-/l/_binary64
153×cancel-sign-sub-inv_binary64
Counts
347 → 340
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031211199
17497806
217756080
343566080
448286080
549966080
647886080

prune673.0ms (3.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3319340
Fresh101
Picked101
Done000
Total3339342
Error
0.0b
Counts
342 → 9
Alt Table
StatusErrorProgram
33.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B))))
31.4b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
11.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
0.7b
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (/.f64 (cbrt.f64 x) (tan.f64 B))))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
30.3b
(-.f64 (/.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
30.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
0.8b
(-.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
Compiler

Compiled 12065 to 3788 computations (68.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 (tan.f64 B) x)
0.3b
(/.f64 1 (/.f64 (tan.f64 B) x))

series203.0ms (1.2%)

Counts
3 → 72
Calls

3 calls:

79.0ms
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
78.0ms
(/.f64 1 (/.f64 (tan.f64 B) x))
45.0ms
(/.f64 (tan.f64 B) x)

rewrite423.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
1447×times-frac_binary64
907×add-sqr-sqrt_binary64
881×*-un-lft-identity_binary64
860×add-cube-cbrt_binary64
572×prod-diff_binary64
Counts
3 → 773
Calls

3 calls:

66.0ms
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
7.0ms
(/.f64 1 (/.f64 (tan.f64 B) x))
7.0ms
(/.f64 (tan.f64 B) x)

simplify1.7s (10.1%)

Algorithm
egg-herbie
Rules
410×fma-neg_binary64
391×cancel-sign-sub-inv_binary64
275×associate-/l/_binary64
265×distribute-rgt-out_binary64
204×distribute-rgt-neg-in_binary64
Counts
845 → 806
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037335425
185721208
2252215811
3441015811
4463615811
5496315811
6463015811

prune1.9s (11.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New8462848
Fresh358
Picked011
Done000
Total8498857
Error
0.0b
Counts
857 → 8
Alt Table
StatusErrorProgram
0.3b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (/.f64 1 x))))
0.8b
(-.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
11.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
7.5b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
30.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
33.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B))))
Compiler

Compiled 43547 to 21499 computations (50.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 1 (tan.f64 B))
0.2b
(/.f64 1 (/.f64 1 x))
0.3b
(*.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (/.f64 1 x)))

series112.0ms (0.7%)

Counts
3 → 48
Calls

3 calls:

78.0ms
(*.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (/.f64 1 x)))
31.0ms
(/.f64 1 (tan.f64 B))
2.0ms
(/.f64 1 (/.f64 1 x))

rewrite103.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
203×times-frac_binary64
171×add-exp-log_binary64
159×add-sqr-sqrt_binary64
117×*-un-lft-identity_binary64
98×div-exp_binary64
Counts
3 → 274
Calls

3 calls:

39.0ms
(*.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (/.f64 1 x)))
8.0ms
(/.f64 1 (/.f64 1 x))
6.0ms
(/.f64 1 (tan.f64 B))

simplify357.0ms (2.1%)

Algorithm
egg-herbie
Rules
498×cancel-sign-sub-inv_binary64
417×distribute-rgt-neg-in_binary64
399×fma-neg_binary64
398×sub-neg_binary64
306×div-sub_binary64
Counts
322 → 367
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01753015
13332846
28562837
319362837
432182837
540072837
645872837
748742837

prune693.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4090409
Fresh066
Picked011
Done011
Total4098417
Error
0.0b
Counts
417 → 8
Alt Table
StatusErrorProgram
0.3b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (/.f64 1 x))))
0.8b
(-.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
11.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
7.5b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
30.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
33.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B))))
Compiler

Compiled 9054 to 5948 computations (34.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B))))
0.3b
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (cbrt.f64 (sin.f64 B)))
0.4b
(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
0.6b
(cbrt.f64 (sin.f64 B))

series1.4s (8%)

Counts
4 → 48
Calls

4 calls:

588.0ms
(/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B))))
433.0ms
(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
328.0ms
(cbrt.f64 (sin.f64 B))
16.0ms
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (cbrt.f64 (sin.f64 B)))

rewrite68.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
66×times-frac_binary64
53×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
45×add-cube-cbrt_binary64
43×cbrt-prod_binary64
Counts
4 → 176
Calls

4 calls:

17.0ms
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (cbrt.f64 (sin.f64 B)))
12.0ms
(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
10.0ms
(/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B))))
2.0ms
(cbrt.f64 (sin.f64 B))

simplify290.0ms (1.7%)

Algorithm
egg-herbie
Rules
659×fma-neg_binary64
657×fma-def_binary64
330×associate-/r*_binary64
319×associate-/l/_binary64
238×log-div_binary64
Counts
224 → 268
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02293986
14783178
212433011
328242712
442502676
549402676
649832676

prune487.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3171318
Fresh055
Picked101
Done022
Total3188326
Error
0b
Counts
326 → 8
Alt Table
StatusErrorProgram
7.5b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
0.8b
(-.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))) (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 B))))) (/.f64 x (tan.f64 B)))
11.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
30.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
0.3b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (/.f64 1 x))))
33.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B))))
Compiler

Compiled 7699 to 2851 computations (63% saved)

regimes1.2s (6.8%)

Accuracy

Total 0.1b remaining (75.1%)

Threshold costs 0.1b (75.1%)

Counts
192 → 1
Compiler

Compiled 9751 to 7047 computations (27.7% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11414
22014
32414
42714
52814
62614

end1.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample4.0s (23.6%)

Algorithm
intervals
Results
1.9s2306×body1024valid
724.0ms3997×body128valid
562.0ms1113×body512valid
205.0ms578×body256valid
29.0ms168×body128invalid
10.0msbody2048valid
1.0msbody1024invalid
Compiler

Compiled 170 to 112 computations (34.1% saved)

Profiling

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