Details

Time bar (total: 4.2s)

analyze466.0ms (11%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
28.1%71.8%0.1%9
42.1%57.7%0.1%10
49.1%50.7%0.1%11
57.3%42.5%0.1%12
66.9%33%0.1%13
71.7%28.2%0.1%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample18.0ms (0.4%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 25 to 22 computations (12% saved)

simplify93.0ms (2.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02018
12018

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 37.9b

Counts
2 → 1
Compiler

Compiled 24 to 18 computations (25% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
35.0b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-log-exp_binary64_18531
add-sqr-sqrt_binary64_18514
pow1_binary64_18553 add-cube-cbrt_binary64_18527 sum-log_binary64_18583 *-un-lft-identity_binary64_18492
add-exp-log_binary64_18530 flip-+_binary64_18466 add-cbrt-cube_binary64_18528 sqrt-prod_binary64_18508 flip3-+_binary64_18495
+-commutative_binary64_18422 sqrt-div_binary64_18509
associate-+l+_binary64_18425 pow1/2_binary64_18572 sqrt-pow1_binary64_18510 rem-sqrt-square_binary64_18505
Counts
3 → 39
Calls

3 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series110.0ms (2.6%)

Counts
3 → 24
Calls

3 calls:

61.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
34.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
15.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify52.0ms (1.2%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049661273
149661273

prune53.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh000
Picked011
Done000
Total57764

Merged error: 10.0b

Counts
64 → 7
Compiler

Compiled 1211 to 273 computations (77.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 z z) x))
4.5b
(/.f64 (*.f64 y y) x)
6.2b
(/.f64 (*.f64 z z) x)

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
*-un-lft-identity_binary64_18492
add-sqr-sqrt_binary64_18514 add-cube-cbrt_binary64_18527
times-frac_binary64_18498 associate-/r*_binary64_18436
add-log-exp_binary64_18531
div-exp_binary64_18543 cbrt-undiv_binary64_18526 div-inv_binary64_18489
pow1_binary64_18553
frac-2neg_binary64_18503 associate-/l*_binary64_18437 prod-exp_binary64_18541 cbrt-unprod_binary64_18525 clear-num_binary64_18491
flip-+_binary64_18466 +-commutative_binary64_18422 distribute-rgt-out_binary64_18445 distribute-lft-out_binary64_18443 sum-log_binary64_18583 flip3-+_binary64_18495 frac-add_binary64_18500
Counts
3 → 56
Calls

3 calls:

12.0ms
(+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 z z) x))
5.0ms
(/.f64 (*.f64 z z) x)
5.0ms
(/.f64 (*.f64 y y) x)

series173.0ms (4.1%)

Counts
3 → 21
Calls

3 calls:

71.0ms
(+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 z z) x))
52.0ms
(/.f64 (*.f64 z z) x)
50.0ms
(/.f64 (*.f64 y y) x)

simplify67.0ms (1.6%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05007917

prune74.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New73477
Fresh055
Picked101
Done011
Total741084

Merged error: 8.5b

Counts
84 → 10
Compiler

Compiled 1545 to 520 computations (66.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
4.5b
(/.f64 (*.f64 y y) x)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_18514 add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528 cbrt-prod_binary64_18523 add-cube-cbrt_binary64_18527 *-un-lft-identity_binary64_18492
pow1_binary64_18553 add-log-exp_binary64_18531
pow1/3_binary64_18574 times-frac_binary64_18498 associate-/r*_binary64_18436
div-exp_binary64_18543 cbrt-undiv_binary64_18526
frac-2neg_binary64_18503 associate-/l*_binary64_18437 prod-exp_binary64_18541 cbrt-unprod_binary64_18525 clear-num_binary64_18491 div-inv_binary64_18489
Counts
4 → 54
Calls

4 calls:

5.0ms
(/.f64 (*.f64 y y) x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series333.0ms (7.9%)

Counts
4 → 15
Calls

4 calls:

96.0ms
(cbrt.f64 x)
94.0ms
(cbrt.f64 x)
90.0ms
(cbrt.f64 x)
51.0ms
(/.f64 (*.f64 y y) x)

simplify82.0ms (1.9%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04977487
14977487

prune80.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh268
Picked101
Done011
Total681179

Merged error: 8.1b

Counts
79 → 11
Compiler

Compiled 1913 to 623 computations (67.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_18523
23×add-sqr-sqrt_binary64_18514
15×add-cube-cbrt_binary64_18527 *-un-lft-identity_binary64_18492
11×pow1_binary64_18553
pow1/3_binary64_18574
add-exp-log_binary64_18530 associate-*l*_binary64_18433 associate-*r*_binary64_18432 swap-sqr_binary64_18459
add-cbrt-cube_binary64_18528 unswap-sqr_binary64_18460 add-log-exp_binary64_18531
pow-prod-up_binary64_18562 pow-sqr_binary64_18465 pow-prod-down_binary64_18563
pow2_binary64_18573 pow-plus_binary64_18555 *-commutative_binary64_18423 prod-exp_binary64_18541 cbrt-unprod_binary64_18525
Counts
4 → 73
Calls

4 calls:

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

series373.0ms (8.8%)

Counts
4 → 12
Calls

4 calls:

98.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
96.0ms
(cbrt.f64 x)
94.0ms
(cbrt.f64 x)
85.0ms
(cbrt.f64 x)

simplify67.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04892563
14892563

prune87.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh279
Picked101
Done011
Total861096

Merged error: 8.1b

Counts
96 → 10
Compiler

Compiled 2094 to 709 computations (66.1% saved)

regimes702.0ms (16.6%)

Compiler

Compiled 5345 to 3667 computations (31.4% saved)

bsearch26.0ms (0.6%)

Steps
ItersRangePoint
1
2.5137148579972797e+108
2.692429851259627e+108
2.64775110294404e+108
9
-2.588338087848149e+158
-1.8644117983891894e+152
-1.3608159443905432e+154
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04274
14274

end0.0ms (0%)

sample1.2s (29.2%)

Algorithm
intervals
Results
316.0ms8000×body128valid
Compiler

Compiled 619 to 413 computations (33.3% saved)

Profiling

Loading profile data...