Details

Time bar (total: 6.5s)

analyze1.5s (22.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
31.2%68.6%0.1%6
32.8%67.1%0.1%7
34.3%65.5%0.1%8
38.2%61.2%0.5%9
39.6%53%7.4%10
40.3%52.4%7.4%11
41.6%49.6%8.8%12
42%39.9%18.1%13
42.3%39.6%18.2%14
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample52.0ms (0.8%)

Algorithm
intervals
Results
20.0ms256×body128valid
12.0ms103×body128invalid
4.0ms65×body128nan
Compiler

Compiled 40 to 28 computations (30% saved)

simplify118.0ms (1.8%)

Algorithm
egg-herbie
Rules
614×*-commutative_binary64
613×associate-*l*_binary64
526×sqr-pow_binary64
394×associate-*r/_binary64
380×cube-prod_binary64
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01322
12719
25019
39419
421419
558019
6176319
7245519
8252319
9268119
10289719
11315519
12364519
13448619
14500819

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
1.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
1.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k (+.f64 k 10))))
Compiler

Compiled 48 to 33 computations (31.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 k (+.f64 k 10))
0.0b
(*.f64 a (pow.f64 k m))
1.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite92.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
1.2b
Rules
20×add-exp-log_binary64
17×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
12×add-cbrt-cube_binary64
11×associate-*r*_binary64
Counts
3 → 73
Calls

3 calls:

6.0ms
(*.f64 k (+.f64 k 10))
5.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k (+.f64 k 10))))
4.0ms
(*.f64 a (pow.f64 k m))
Compiler

Compiled 1419 to 751 computations (47.1% saved)

series171.0ms (2.7%)

Error
1.2b
Counts
3 → 34
Calls

3 calls:

97.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k (+.f64 k 10))))
42.0ms
(*.f64 a (pow.f64 k m))
8.0ms
(*.f64 k (+.f64 k 10))
Compiler

Compiled 1843 to 1299 computations (29.5% saved)

simplify109.0ms (1.7%)

Algorithm
egg-herbie
Rules
521×distribute-rgt-in_binary64
499×distribute-lft-in_binary64
336×associate-/l/_binary64
168×associate-*l*_binary64
165×associate-*r*_binary64
Counts
107 → 68
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02182198
15432033
220291943
346331943
449381943

prune46.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New63568
Fresh000
Picked101
Done000
Total64569
Error
1.2b
Counts
69 → 5
Alt Table
StatusErrorProgram
1.3b
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
18.4b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (/.f64 (*.f64 k (+.f64 (pow.f64 k 3) 1000)) (+.f64 (*.f64 k k) (-.f64 (*.f64 10 10) (*.f64 k 10))))))
1.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))
5.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))))
12.5b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (*.f64 k 10) 1))
Compiler

Compiled 1014 to 582 computations (42.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 k k) (*.f64 k 10))
0.0b
(*.f64 a (pow.f64 k m))
1.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))

rewrite139.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
1.2b
Rules
18×add-exp-log_binary64
13×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
10×add-cbrt-cube_binary64
add-cube-cbrt_binary64
Counts
3 → 64
Calls

3 calls:

8.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))
5.0ms
(*.f64 a (pow.f64 k m))
3.0ms
(+.f64 (*.f64 k k) (*.f64 k 10))
Compiler

Compiled 1444 to 678 computations (53% saved)

series126.0ms (2%)

Error
1.2b
Counts
3 → 34
Calls

3 calls:

63.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))
35.0ms
(*.f64 a (pow.f64 k m))
10.0ms
(+.f64 (*.f64 k k) (*.f64 k 10))
Compiler

Compiled 1897 to 1320 computations (30.4% saved)

simplify107.0ms (1.7%)

Algorithm
egg-herbie
Rules
486×associate-/r*_binary64
348×associate-/l/_binary64
331×associate-/r/_binary64
280×distribute-rgt-in_binary64
236×distribute-lft-in_binary64
Counts
98 → 78
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02082156
15361985
220221883
348921883
449881883

prune42.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh134
Picked011
Done000
Total78583
Error
1.2b
Counts
83 → 5
Alt Table
StatusErrorProgram
1.3b
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
1.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))
5.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))))
12.5b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (*.f64 k 10) 1))
18.4b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (/.f64 (-.f64 (pow.f64 k 4) (*.f64 k (*.f64 100 k))) (*.f64 k (+.f64 k -10)))))
Compiler

Compiled 1225 to 691 computations (43.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 k (+.f64 k 10))
0.1b
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
14.3b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.3b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite189.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
1.2b
Rules
27×add-exp-log_binary64
16×add-sqr-sqrt_binary64
15×add-cbrt-cube_binary64
14×*-un-lft-identity_binary64
12×sqrt-prod_binary64
Counts
4 → 89
Calls

4 calls:

11.0ms
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
5.0ms
(*.f64 k (+.f64 k 10))
2.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
2.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
Compiler

Compiled 2705 to 1857 computations (31.3% saved)

series129.0ms (2%)

Error
1.2b
Counts
4 → 40
Calls

4 calls:

63.0ms
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
11.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
10.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
10.0ms
(*.f64 k (+.f64 k 10))
Compiler

Compiled 2329 to 1661 computations (28.7% saved)

simplify101.0ms (1.6%)

Algorithm
egg-herbie
Rules
481×associate-/r/_binary64
418×distribute-rgt-in_binary64
412×distribute-lft-in_binary64
183×associate-/l*_binary64
165×associate-/l/_binary64
Counts
129 → 91
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02663674
16763042
225292958
351662958

prune76.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh213
Picked011
Done011
Total92496
Error
1.2b
Counts
96 → 4
Alt Table
StatusErrorProgram
1.3b
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
1.3b
(/.f64 (*.f64 (/.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))) (pow.f64 k m)) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
1.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))
12.5b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (*.f64 k 10) 1))
Compiler

Compiled 1839 to 1159 computations (37% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
14.3b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.3b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.3b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite428.0ms (6.6%)

Algorithm
rewrite-expression-head
Error
1.2b
Rules
396×times-frac_binary64
324×sqrt-prod_binary64
215×add-sqr-sqrt_binary64
212×*-un-lft-identity_binary64
212×add-cube-cbrt_binary64
Counts
4 → 311
Calls

4 calls:

18.0ms
(/.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
2.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
2.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
2.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
Compiler

Compiled 13094 to 9581 computations (26.8% saved)

series141.0ms (2.2%)

Error
1.2b
Counts
4 → 33
Calls

4 calls:

73.0ms
(/.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
13.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
9.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
9.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
Compiler

Compiled 2510 to 1869 computations (25.5% saved)

simplify453.0ms (7%)

Algorithm
egg-herbie
Rules
499×associate-/r/_binary64
498×associate-/l/_binary64
344×distribute-rgt-in_binary64
338×distribute-lft-in_binary64
194×associate-/r*_binary64
Counts
344 → 251
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044518067
1102516964
2293616890
3486916890
4493516890

prune194.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2510251
Fresh011
Picked011
Done022
Total2514255
Error
1.2b
Counts
255 → 4
Alt Table
StatusErrorProgram
1.3b
(/.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
1.3b
(/.f64 (*.f64 (/.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))) (pow.f64 k m)) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
1.2b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (*.f64 k k) (*.f64 k 10))))
12.5b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (*.f64 k 10) 1))
Compiler

Compiled 6333 to 4540 computations (28.3% saved)

regimes516.0ms (8%)

Accuracy

Total 0.1b remaining (3.8%)

Threshold costs 0.1b (3.8%)

Compiler

Compiled 11352 to 8006 computations (29.5% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
12238
22138

end1.0ms (0%)

Compiler

Compiled 28 to 21 computations (25% saved)

sample1.7s (26.6%)

Algorithm
intervals
Results
671.0ms8000×body128valid
366.0ms3272×body128invalid
110.0ms1892×body128nan
Compiler

Compiled 145 to 106 computations (26.9% saved)

Profiling

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