Details

Time bar (total: 2.5s)

analyze227.0ms (9.1%)

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
0%99.9%0.1%5
9.4%65.5%25.1%6
14%60.8%25.1%7
14%56.2%29.8%8
14%36.7%49.3%9
14.8%30.4%54.8%10
15.5%28.3%56.2%11
16.4%18.3%65.2%12
17.2%15.2%67.6%13
17.7%14.2%68.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample32.0ms (1.3%)

Algorithm
intervals
Results
15.0ms256×body128valid
3.0ms70×body128invalid
3.0ms80×body128nan
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify161.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0500712

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 25 to 22 computations (12% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_9648
17×add-log-exp_binary64_9665 *-un-lft-identity_binary64_9626
13×add-cube-cbrt_binary64_9661
12×log-prod_binary64_9712
pow1_binary64_9687
distribute-rgt-in_binary64_9576 add-exp-log_binary64_9664 cancel-sign-sub-inv_binary64_9592 distribute-lft-in_binary64_9575 associate-+r+_binary64_9558 add-cbrt-cube_binary64_9662
exp-prod_binary64_9678 exp-sum_binary64_9672
diff-log_binary64_9718 associate-*r*_binary64_9566
associate-*l*_binary64_9567 rem-exp-log_binary64_9666 sum-log_binary64_9717
sub-neg_binary64_9619 distribute-lft-out--_binary64_9578 difference-of-squares_binary64_9595 associate--l+_binary64_9563
flip3--_binary64_9630 exp-diff_binary64_9674 prod-exp_binary64_9675 +-commutative_binary64_9556 pow-prod-down_binary64_9697 *-commutative_binary64_9557 log-pow_binary64_9715 flip--_binary64_9601 flip-+_binary64_9600 unswap-sqr_binary64_9594 flip3-+_binary64_9629 cbrt-unprod_binary64_9659
Counts
4 → 81
Calls

4 calls:

10.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
5.0ms
(*.f64 y (log.f64 y))
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))

series173.0ms (6.9%)

Counts
4 → 12
Calls

4 calls:

68.0ms
(*.f64 y (log.f64 y))
38.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
36.0ms
(+.f64 x (*.f64 y (log.f64 y)))
31.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

simplify75.0ms (3%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049741147
149741147

prune56.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh101
Picked011
Done000
Total93295
Error
0b
Counts
95 → 2
Compiler

Compiled 1286 to 326 computations (74.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
0.5b
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.5b
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.5b
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite54.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_9648
25×associate-*l*_binary64_9567 associate-*r*_binary64_9566
20×add-cube-cbrt_binary64_9661 *-un-lft-identity_binary64_9626
12×unpow-prod-down_binary64_9705 exp-sum_binary64_9672 add-exp-log_binary64_9664
11×pow1_binary64_9687
10×prod-exp_binary64_9675 unswap-sqr_binary64_9594 add-cbrt-cube_binary64_9662
cancel-sign-sub-inv_binary64_9592
associate-*r/_binary64_9568
exp-diff_binary64_9674
sqr-pow_binary64_9598 pow1/3_binary64_9708
swap-sqr_binary64_9593 add-log-exp_binary64_9665 cbrt-prod_binary64_9657 *-commutative_binary64_9557 cbrt-div_binary64_9658 cbrt-unprod_binary64_9659
sub-neg_binary64_9619 pow-to-exp_binary64_9695 pow-exp_binary64_9694
pow-prod-up_binary64_9696 pow-prod-down_binary64_9697 pow-sqr_binary64_9599
associate-*l/_binary64_9569 frac-times_binary64_9636 pow2_binary64_9707 pow-plus_binary64_9689
Counts
4 → 124
Calls

4 calls:

12.0ms
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
11.0ms
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
11.0ms
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
7.0ms
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

series453.0ms (18.2%)

Counts
4 → 12
Calls

4 calls:

264.0ms
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
67.0ms
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
61.0ms
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
61.0ms
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

simplify73.0ms (2.9%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051682095

prune111.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done011
Total1362138
Error
0b
Counts
138 → 2
Compiler

Compiled 4411 to 514 computations (88.3% saved)

regimes84.0ms (3.4%)

Accuracy

Total 0.0b remaining (83%)

Threshold costs 0.0b (83%)

Compiler

Compiled 529 to 322 computations (39.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02114
12114

end0.0ms (0%)

sample937.0ms (37.6%)

Algorithm
intervals
Results
378.0ms8000×body128valid
81.0ms1803×body128invalid
75.0ms2359×body128nan
Compiler

Compiled 95 to 64 computations (32.6% saved)

Profiling

Loading profile data...