Details

Time bar (total: 2.1s)

analyze65.0ms (3.1%)

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
25%74.9%0.1%5
43.7%43.7%12.6%6
53.1%31.2%15.7%7
59.3%18.7%22%8
62.4%14%23.5%9
64.8%8.6%26.6%10
66%6.6%27.4%11
66.9%4.1%29%12
67.4%3.2%29.4%13
67.9%2%30.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (1.4%)

Algorithm
intervals
Results
16.0ms240×body128valid
2.0msbody512valid
2.0msbody1024valid
1.0msbody256valid
0.0msbody128invalid
Compiler

Compiled 19 to 19 computations (0% saved)

simplify14.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
09614
19614

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b
(+.f64 1 (exp.f64 x))
0.3b
(log.f64 (+.f64 1 (exp.f64 x)))

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
log-prod_binary64
add-log-exp_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 log-div_binary64 associate--l+_binary64
flip3-+_binary64 distribute-lft-out_binary64 add-cbrt-cube_binary64 flip-+_binary64
associate--l-_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 rem-log-exp_binary64 log-pow_binary64 cancel-sign-sub-inv_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
3 → 45
Calls

3 calls:

7.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms
(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms
(+.f64 1 (exp.f64 x))

series173.0ms (8.3%)

Counts
3 → 9
Calls

3 calls:

82.0ms
(log.f64 (+.f64 1 (exp.f64 x)))
79.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
11.0ms
(+.f64 1 (exp.f64 x))

simplify80.0ms (3.8%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04925763
14925763

prune71.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh000
Picked011
Done000
Total52355

Merged error: 0b

Counts
55 → 3
Compiler

Compiled 1125 to 716 computations (36.4% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (exp.f64 x))
0.0b
(+.f64 1 (exp.f64 x))
1.0b
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.0b
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite24.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64
14×log-prod_binary64
add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
log-pow_binary64 add-exp-log_binary64
flip3-+_binary64 distribute-lft-out_binary64 add-cbrt-cube_binary64 log-div_binary64 flip-+_binary64 sqrt-div_binary64
pow1/2_binary64 rem-log-exp_binary64 sqrt-pow1_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 64
Calls

4 calls:

5.0ms
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms
(+.f64 1 (exp.f64 x))
4.0ms
(+.f64 1 (exp.f64 x))

series265.0ms (12.7%)

Counts
4 → 12
Calls

4 calls:

122.0ms
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
122.0ms
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
11.0ms
(+.f64 1 (exp.f64 x))
10.0ms
(+.f64 1 (exp.f64 x))

simplify64.0ms (3.1%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05018988

prune88.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done011
Total76379

Merged error: 0b

Counts
79 → 3
Compiler

Compiled 1656 to 1059 computations (36.1% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
0.0b
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
0.0b
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))

rewrite23.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 log-prod_binary64 associate-+l+_binary64 associate-*l*_binary64
flip3-+_binary64 diff-log_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64 associate-+r+_binary64 sum-log_binary64
pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cancel-sign-sub-inv_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 flip--_binary64 associate--l+_binary64 *-commutative_binary64
Counts
3 → 52
Calls

3 calls:

7.0ms
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
6.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
5.0ms
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))

series158.0ms (7.6%)

Counts
3 → 9
Calls

3 calls:

82.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
50.0ms
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
25.0ms
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))

simplify56.0ms (2.7%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049681072
149681072

prune71.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done022
Total61364

Merged error: 0b

Counts
64 → 3
Compiler

Compiled 1290 to 928 computations (28.1% saved)

regimes32.0ms (1.5%)

Compiler

Compiled 142 to 126 computations (11.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714

end0.0ms (0%)

sample821.0ms (39.4%)

Algorithm
intervals
Results
375.0ms7414×body128valid
86.0ms201×body1024valid
53.0ms214×body512valid
22.0ms168×body256valid
3.0ms58×body128invalid
3.0msbody2048valid
0.0msbody128overflowed
Compiler

Compiled 85 to 73 computations (14.1% saved)

Profiling

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