Details

Time bar (total: 2.4s)

analyze1.0s (42.9%)

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 16 to 13 computations (18.8% saved)

sample44.0ms (1.9%)

Algorithm
intervals
Results
19.0ms256×body80valid
9.0ms116×body80invalid
3.0ms76×body80nan
Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify150.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
0496119
1496119

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.1b

Counts
2 → 1
Compiler

Compiled 28 to 23 computations (17.9% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
0.0b
(+.f64 1 (*.f64 10 k))
0.0b
(*.f64 a (pow.f64 k m))
1.1b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
19×add-exp-log_binary64
14×add-sqr-sqrt_binary64
11×add-log-exp_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*r*_binary64
prod-exp_binary64
pow1_binary64 unpow-prod-down_binary64 div-exp_binary64 sum-log_binary64
flip3-+_binary64 associate-/r*_binary64 associate-*l*_binary64 unswap-sqr_binary64 times-frac_binary64 flip-+_binary64
pow-to-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 sqr-pow_binary64 associate-/r/_binary64 +-commutative_binary64 pow-exp_binary64
associate-+l+_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 74
Calls

4 calls:

10.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
6.0ms
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
6.0ms
(*.f64 a (pow.f64 k m))
3.0ms
(+.f64 1 (*.f64 10 k))

series62.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
15.0ms
(*.f64 a (pow.f64 k m))
4.0ms
(+.f64 1 (*.f64 10 k))
3.0ms
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))

simplify106.0ms (4.5%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049341344
149341344

prune67.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh000
Picked101
Done000
Total85287

Merged error: 1.0b

Counts
87 → 2
Compiler

Compiled 1741 to 894 computations (48.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b
(*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
15.0b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.0b
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite60.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt_binary64
134×times-frac_binary64
76×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
48×associate-*r*_binary64
45×unpow-prod-down_binary64
33×add-exp-log_binary64
24×associate-*l*_binary64
21×unswap-sqr_binary64
19×sqr-pow_binary64
18×add-cbrt-cube_binary64
13×div-exp_binary64
10×sqrt-div_binary64
pow1_binary64 prod-exp_binary64
associate-/l*_binary64
associate-/r*_binary64 associate-/r/_binary64
flip3-+_binary64 cbrt-undiv_binary64 flip-+_binary64
add-log-exp_binary64 cbrt-unprod_binary64
pow-to-exp_binary64 div-inv_binary64 pow-exp_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 218
Calls

4 calls:

33.0ms
(*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
8.0ms
(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series61.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(*.f64 (/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
18.0ms
(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
4.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify159.0ms (6.7%)

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
049607941
149607941

prune329.0ms (14%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2300230
Fresh011
Picked011
Done000
Total2302232

Merged error: 1.0b

Counts
232 → 2
Compiler

Compiled 7998 to 5238 computations (34.5% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
0.0b
(+.f64 1 (*.f64 10 k))
0.0b
(*.f64 (*.f64 a (pow.f64 (sqrt.f64 k) m)) (pow.f64 (sqrt.f64 k) m))
1.1b
(/.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 k) m)) (pow.f64 (sqrt.f64 k) m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))

rewrite38.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
70×add-exp-log_binary64
42×prod-exp_binary64
18×add-cbrt-cube_binary64
14×pow-to-exp_binary64 pow-exp_binary64
13×div-exp_binary64
11×add-log-exp_binary64
10×associate-*r*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cbrt-unprod_binary64 unpow-prod-down_binary64
pow1_binary64 sum-log_binary64
flip3-+_binary64 associate-/r*_binary64 cbrt-undiv_binary64 times-frac_binary64 sqrt-prod_binary64 flip-+_binary64
associate-/r/_binary64 +-commutative_binary64
associate-+l+_binary64 sqr-pow_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 92
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 k) m)) (pow.f64 (sqrt.f64 k) m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
10.0ms
(*.f64 (*.f64 a (pow.f64 (sqrt.f64 k) m)) (pow.f64 (sqrt.f64 k) m))
6.0ms
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
3.0ms
(+.f64 1 (*.f64 10 k))

series133.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

77.0ms
(/.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 k) m)) (pow.f64 (sqrt.f64 k) m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
48.0ms
(*.f64 (*.f64 a (pow.f64 (sqrt.f64 k) m)) (pow.f64 (sqrt.f64 k) m))
5.0ms
(+.f64 1 (*.f64 10 k))
3.0ms
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))

simplify63.0ms (2.7%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051541963

prune6.0ms (0.3%)

Profiling

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