Details

Time bar (total: 1.9s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
99.8%0%0.1%13
99.8%0%0.2%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample19.0ms (1%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify165.0ms (8.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0127
1127

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 841/108 x) 4/29)
0.1b
(*.f64 841/108 x)

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_6838
pow1_binary64_6875 add-exp-log_binary64_6852 *-un-lft-identity_binary64_6817 add-cbrt-cube_binary64_6850 add-log-exp_binary64_6853 add-cube-cbrt_binary64_6849
associate-*r*_binary64_6759 associate-*l*_binary64_6760
pow-prod-down_binary64_6885 cbrt-unprod_binary64_6847 +-commutative_binary64_6749 flip3-+_binary64_6820 unswap-sqr_binary64_6785 flip-+_binary64_6791 sum-log_binary64_6905 prod-exp_binary64_6863 *-commutative_binary64_6750
Counts
2 → 29
Calls

2 calls:

4.0ms
(+.f64 (*.f64 841/108 x) 4/29)
4.0ms
(*.f64 841/108 x)

series68.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

41.0ms
(+.f64 (*.f64 841/108 x) 4/29)
27.0ms
(*.f64 841/108 x)

simplify85.0ms (4.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05181275

prune28.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh000
Picked011
Done000
Total32436

Merged error: 0b

Counts
36 → 4
Compiler

Compiled 332 to 277 computations (16.6% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108))) 4/29)
0.2b
(*.f64 x (sqrt.f64 841/108))
0.3b
(*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108)))

rewrite24.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_6838
10×pow1_binary64_6875 add-exp-log_binary64_6852 add-cbrt-cube_binary64_6850
associate-*l*_binary64_6760
*-un-lft-identity_binary64_6817 add-cube-cbrt_binary64_6849
associate-*r*_binary64_6759 sqrt-prod_binary64_6832
add-log-exp_binary64_6853
pow-prod-down_binary64_6885 cbrt-unprod_binary64_6847 prod-exp_binary64_6863
unswap-sqr_binary64_6785 *-commutative_binary64_6750
+-commutative_binary64_6749 flip3-+_binary64_6820 flip-+_binary64_6791 sum-log_binary64_6905
Counts
3 → 54
Calls

3 calls:

8.0ms
(+.f64 (*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108))) 4/29)
7.0ms
(*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108)))
6.0ms
(*.f64 x (sqrt.f64 841/108))

series219.0ms (11.6%)

Counts
3 → 9
Calls

3 calls:

96.0ms
(+.f64 (*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108))) 4/29)
77.0ms
(*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108)))
46.0ms
(*.f64 x (sqrt.f64 841/108))

simplify46.0ms (2.4%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05021511

prune56.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh202
Picked011
Done011
Total64367

Merged error: 0b

Counts
67 → 3
Compiler

Compiled 690 to 603 computations (12.6% saved)

localize12.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))
0.6b
(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

rewrite34.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64_6852
17×add-sqr-sqrt_binary64_6838
13×sqrt-prod_binary64_6832
12×associate-*l*_binary64_6760
11×associate-*r*_binary64_6759
10×*-un-lft-identity_binary64_6817 add-cbrt-cube_binary64_6850 prod-exp_binary64_6863 add-cube-cbrt_binary64_6849
unpow-prod-down_binary64_6893
pow1_binary64_6875 add-log-exp_binary64_6853
cbrt-unprod_binary64_6847 unswap-sqr_binary64_6785
pow-exp_binary64_6882 pow-to-exp_binary64_6883 sqr-pow_binary64_6789 *-commutative_binary64_6750
pow-prod-down_binary64_6885 +-commutative_binary64_6749 flip3-+_binary64_6820 flip-+_binary64_6791 sum-log_binary64_6905
Counts
3 → 65
Calls

3 calls:

11.0ms
(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)
10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))
7.0ms
(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))

series334.0ms (17.6%)

Counts
3 → 9
Calls

3 calls:

163.0ms
(*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))
87.0ms
(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2))) 4/29)
84.0ms
(*.f64 (sqrt.f64 (sqrt.f64 841/108)) (*.f64 x (pow.f64 (sqrt.f64 841/108) 3/2)))

simplify80.0ms (4.2%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04841761
14841761

prune71.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh000
Picked011
Done022
Total74377

Merged error: 0b

Counts
77 → 3
Compiler

Compiled 998 to 891 computations (10.7% saved)

regimes66.0ms (3.5%)

Compiler

Compiled 402 to 381 computations (5.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1127

end0.0ms (0%)

sample559.0ms (29.5%)

Algorithm
intervals
Results
234.0ms7994×body128valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 139 to 133 computations (4.3% saved)

Profiling

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