Details

Time bar (total: 2.2s)

analyze304.0ms (13.7%)

Algorithm
1×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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.8%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
1.0ms29×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify106.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 1 x) z)
0.0b
(*.f64 (-.f64 1 x) z)

rewrite10.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_6579
6×associate-*l*_binary64_6498 *-un-lft-identity_binary64_6557
3×associate-*r*_binary64_6497 add-cbrt-cube_binary64_6593 add-cube-cbrt_binary64_6592 pow1_binary64_6618 add-exp-log_binary64_6595
2×associate-*l/_binary64_6500 difference-of-squares_binary64_6526
1×*-commutative_binary64_6488 pow-prod-down_binary64_6628 flip--_binary64_6532 unswap-sqr_binary64_6525 prod-exp_binary64_6606 distribute-lft-out--_binary64_6509 add-log-exp_binary64_6596 cbrt-unprod_binary64_6590 flip3--_binary64_6561
Counts
1 → 23
Calls

2 calls:

8.0ms
(*.f64 (-.f64 1 x) z)
0.0ms
(*.f64 (-.f64 1 x) z)

series59.0ms (2.7%)

Counts
1 → 9
Calls

1 calls:

59.0ms
(*.f64 (-.f64 1 x) z)
Compiler

Compiled 131 to 111 computations (15.3% saved)

simplify83.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04930275
14930275

prune23.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh011
Picked011
Done000
Total32234
Error
0b
Counts
34 → 2
Compiler

Compiled 405 to 216 computations (46.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_6579 cancel-sign-sub-inv_binary64_6523
10×*-un-lft-identity_binary64_6557
8×distribute-lft-in_binary64_6506 add-cube-cbrt_binary64_6592 associate-+r+_binary64_6489 distribute-rgt-in_binary64_6507
5×associate-*r*_binary64_6497
4×add-cbrt-cube_binary64_6593 pow1_binary64_6618 sub-neg_binary64_6550 add-exp-log_binary64_6595 add-log-exp_binary64_6596
3×associate-*l*_binary64_6498
2×associate-*r/_binary64_6499
1×flip-+_binary64_6531 *-commutative_binary64_6488 pow-prod-down_binary64_6628 flip--_binary64_6532 sum-log_binary64_6648 difference-of-squares_binary64_6526 unswap-sqr_binary64_6525 prod-exp_binary64_6606 flip3-+_binary64_6560 +-commutative_binary64_6487 distribute-lft-out--_binary64_6509 cbrt-unprod_binary64_6590 flip3--_binary64_6561
Counts
2 → 49
Calls

4 calls:

7.0ms
(*.f64 x (-.f64 y z))
4.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
0.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
0.0ms
(*.f64 x (-.f64 y z))

series220.0ms (9.9%)

Counts
2 → 33
Calls

2 calls:

126.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
94.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify69.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05339764

prune43.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done011
Total82284
Error
0b
Counts
84 → 2
Compiler

Compiled 804 to 154 computations (80.8% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05566
15566

regimes52.0ms (2.3%)

Compiler

Compiled 141 to 180 computations (-27.7% saved)

bsearch0.0ms (0%)

regimes89.0ms (4%)

Compiler

Compiled 72 to 120 computations (-66.7% saved)

bsearch29.0ms (1.3%)

Steps
ItersRangePoint
7
0.46041642693548235
23.390416526384218
1.0052300524033566
10
-109303372001.62778
-0.24026497615449538
-1.0179197843179981
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes106.0ms (4.8%)

Compiler

Compiled 57 to 105 computations (-84.2% saved)

bsearch30.0ms (1.4%)

Steps
ItersRangePoint
10
9.700477002310013e-126
3.1242916683393922e-114
2.680968823381899e-119
8
-3.1729705935320275e-34
-6.277250268257559e-37
-1.3606815947832856e-36
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes92.0ms (4.2%)

Compiler

Compiled 42 to 90 computations (-114.3% saved)

bsearch27.0ms (1.2%)

Steps
ItersRangePoint
6
3.3401225606078073e+182
3.6078749693776405e+183
3.411503740634102e+182
8
-1.1634501215024502e-09
-8.15516829022227e-13
-1.4044500984613913e-10
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes69.0ms (3.1%)

Compiler

Compiled 27 to 75 computations (-177.8% saved)

bsearch19.0ms (0.8%)

Steps
ItersRangePoint
6
5.238234937860832e-45
4.814345385042591e-44
1.5652421734300902e-44
7
-4.479212924563544e-19
-9.849408037865327e-21
-3.699130614284563e-19
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (1.3%)

Compiler

Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes26.0ms (1.2%)

Accuracy

Total 0.0b remaining (53%)

Threshold costs 0.0b (53%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch5.0ms (0.2%)

Compiler

Compiled 89 to 61 computations (31.5% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082112
182112

end0.0ms (0%)

sample667.0ms (30.1%)

Algorithm
1×intervals
Results
218.0ms8000×body128valid
17.0ms641×body128invalid
Compiler

Compiled 132 to 131 computations (0.8% saved)

Pareto

0.20627670108542145

Profiling

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