Details

Time bar (total: 3.9s)

analyze262.0ms (6.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.5%27.7%68.8%9
5.3%24.4%70.4%10
7.5%19.8%72.7%11
11.1%16.2%72.7%12
11.3%15.3%73.5%13
13.2%13%73.9%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.7%)

Algorithm
intervals
Results
15.0ms255×body128valid
1.0ms17×body128nan
0.0msbody1024valid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify30.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
049617
149617

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.3b
(*.f64 x (log.f64 y))

rewrite40.0ms (1%)

Algorithm
rewrite-expression-head
Rules
32×associate--l+_binary64
26×*-un-lft-identity_binary64
21×log-prod_binary64
20×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64
14×add-log-exp_binary64 associate-+l+_binary64
12×cancel-sign-sub-inv_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
pow1_binary64
diff-log_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 distribute-lft-out_binary64 associate-*r*_binary64
log-pow_binary64 associate-*l*_binary64 distribute-lft-out--_binary64 associate-+r+_binary64 sum-log_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 associate--l-_binary64 cbrt-unprod_binary64 associate-+l-_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 *-commutative_binary64
Counts
3 → 88
Calls

3 calls:

15.0ms
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
12.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms
(*.f64 x (log.f64 y))

series194.0ms (4.9%)

Counts
3 → 9
Calls

3 calls:

83.0ms
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
59.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
51.0ms
(*.f64 x (log.f64 y))

simplify69.0ms (1.8%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
051791340

prune145.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New93497
Fresh000
Picked011
Done000
Total93598

Merged error: 0.0b

Counts
98 → 5
Compiler

Compiled 2713 to 1154 computations (57.5% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series651.0ms (16.5%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
161.0ms
(cbrt.f64 y)
159.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 y)

simplify52.0ms (1.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05244563

prune86.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5
Compiler

Compiled 2170 to 584 computations (73.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
0.6b
(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b
(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b
(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 swap-sqr_binary64 associate-*r*_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
3.0ms
(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms
(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms
(cbrt.f64 (*.f64 x (log.f64 y)))

series731.0ms (18.6%)

Counts
4 → 12
Calls

4 calls:

227.0ms
(*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
177.0ms
(cbrt.f64 (*.f64 x (log.f64 y)))
168.0ms
(cbrt.f64 (*.f64 x (log.f64 y)))
159.0ms
(cbrt.f64 (*.f64 x (log.f64 y)))

simplify73.0ms (1.9%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04828683
14828683

prune73.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done022
Total70575

Merged error: 0.0b

Counts
75 → 5
Compiler

Compiled 1905 to 508 computations (73.3% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (log.f64 y) (sqrt.f64 x))) y) z)
0.2b
(*.f64 (log.f64 y) (sqrt.f64 x))
0.2b
(*.f64 (sqrt.f64 x) (*.f64 (log.f64 y) (sqrt.f64 x)))

rewrite33.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
11×pow1_binary64
10×add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
add-log-exp_binary64
associate-*r*_binary64 sqrt-prod_binary64
cancel-sign-sub-inv_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 associate--l+_binary64
diff-log_binary64
sub-neg_binary64 unswap-sqr_binary64 *-commutative_binary64
flip3--_binary64 associate--l-_binary64 log-pow_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
3 → 66
Calls

3 calls:

13.0ms
(-.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (log.f64 y) (sqrt.f64 x))) y) z)
8.0ms
(*.f64 (sqrt.f64 x) (*.f64 (log.f64 y) (sqrt.f64 x)))
6.0ms
(*.f64 (log.f64 y) (sqrt.f64 x))

series268.0ms (6.8%)

Counts
3 → 9
Calls

3 calls:

109.0ms
(*.f64 (log.f64 y) (sqrt.f64 x))
92.0ms
(-.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (log.f64 y) (sqrt.f64 x))) y) z)
67.0ms
(*.f64 (sqrt.f64 x) (*.f64 (log.f64 y) (sqrt.f64 x)))

simplify67.0ms (1.7%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049231024
149231024

prune60.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done033
Total75580

Merged error: 0.0b

Counts
80 → 5
Compiler

Compiled 1414 to 400 computations (71.7% saved)

regimes115.0ms (2.9%)

Compiler

Compiled 758 to 588 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03117
13117

end0.0ms (0%)

sample865.0ms (22%)

Algorithm
intervals
Results
491.0ms7999×body128valid
17.0ms389×body128nan
2.0ms34×body128invalid
0.0msbody1024valid
Compiler

Compiled 110 to 87 computations (20.9% saved)

Profiling

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