Details

Time bar (total: 6.2s)

analyze301.0ms (4.8%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.2%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify131.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054913
154913

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.4b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.5b
(*.f64 (*.f64 (-.f64 y x) 6) z)
0.0b
(*.f64 (-.f64 y x) 6)
0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(*.f64 (-.f64 y x) 6)
0.5b
(*.f64 (*.f64 (-.f64 y x) 6) z)

rewrite22.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_22947 pow1_binary64_22986 add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
8×*-un-lft-identity_binary64_22925
6×associate-*l/_binary64_22868 add-cube-cbrt_binary64_22960 associate-*r*_binary64_22865 associate-*l*_binary64_22866
5×add-log-exp_binary64_22964
4×prod-exp_binary64_22974 pow-prod-down_binary64_22996 cbrt-unprod_binary64_22958
2×flip--_binary64_22900 *-commutative_binary64_22856 flip3--_binary64_22929
1×distribute-lft-out--_binary64_22877 difference-of-squares_binary64_22894 +-commutative_binary64_22855 unswap-sqr_binary64_22893 flip3-+_binary64_22928 flip-+_binary64_22899 sum-log_binary64_23016
Counts
3 → 53
Calls

6 calls:

8.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
7.0ms
(*.f64 (-.f64 y x) 6)
3.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0ms
(*.f64 (-.f64 y x) 6)

series391.0ms (6.3%)

Counts
3 → 45
Calls

3 calls:

196.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
133.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
62.0ms
(*.f64 (-.f64 y x) 6)
Compiler

Compiled 723 to 652 computations (9.8% saved)

simplify69.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
054611073

prune91.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh000
Picked011
Done000
Total91899
Error
0.0b
Counts
99 → 8
Compiler

Compiled 1236 to 649 computations (47.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (-.f64 y x) (*.f64 6 z))
0.0b
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
0.0b
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
0.3b
(*.f64 (-.f64 y x) (*.f64 6 z))

rewrite14.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64_22986 add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
5×add-sqr-sqrt_binary64_22947 associate-*l*_binary64_22866 *-un-lft-identity_binary64_22925
4×add-log-exp_binary64_22964
3×prod-exp_binary64_22974 add-cube-cbrt_binary64_22960 pow-prod-down_binary64_22996 cbrt-unprod_binary64_22958
2×associate-*l/_binary64_22868
1×flip--_binary64_22900 distribute-lft-out--_binary64_22877 associate-*r*_binary64_22865 *-commutative_binary64_22856 difference-of-squares_binary64_22894 +-commutative_binary64_22855 flip3-+_binary64_22928 flip-+_binary64_22899 flip3--_binary64_22929 sum-log_binary64_23016
Counts
2 → 33
Calls

4 calls:

8.0ms
(*.f64 (-.f64 y x) (*.f64 6 z))
4.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
0.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
0.0ms
(*.f64 (-.f64 y x) (*.f64 6 z))

series323.0ms (5.2%)

Counts
2 → 33
Calls

2 calls:

193.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
130.0ms
(*.f64 (-.f64 y x) (*.f64 6 z))
Compiler

Compiled 549 to 490 computations (10.7% saved)

simplify65.0ms (1%)

Algorithm
1×egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04965813
14965813

prune50.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh156
Picked011
Done011
Total66874
Error
0b
Counts
74 → 8
Compiler

Compiled 867 to 459 computations (47.1% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b
(*.f64 (-.f64 y x) 6)
0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.5b
(*.f64 (*.f64 (-.f64 y x) 6) z)
0.5b
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
0.5b
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
0.5b
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))

rewrite29.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
9×pow1_binary64_22986 cbrt-prod_binary64_22956 add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
8×add-sqr-sqrt_binary64_22947 add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925
6×cbrt-div_binary64_22957
4×associate-*l/_binary64_22868 add-log-exp_binary64_22964
3×prod-exp_binary64_22974 associate-*r*_binary64_22865 pow-prod-down_binary64_22996 pow1/3_binary64_23007 flip3-+_binary64_22928 flip-+_binary64_22899 cbrt-unprod_binary64_22958
1×flip--_binary64_22900 *-commutative_binary64_22856 flip3--_binary64_22929 associate-*l*_binary64_22866
Counts
4 → 59
Calls

8 calls:

8.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
7.0ms
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
3.0ms
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
3.0ms
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
0.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))

series1.4s (23.3%)

Counts
4 → 78
Calls

4 calls:

443.0ms
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
431.0ms
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
431.0ms
(cbrt.f64 (+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z)))
141.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
Compiler

Compiled 7291 to 5598 computations (23.2% saved)

simplify73.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053584171

prune266.0ms (4.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh055
Picked011
Done022
Total1378145
Error
0b
Counts
145 → 8
Compiler

Compiled 6096 to 3562 computations (41.6% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

2.1b
(-.f64 (*.f64 y y) (*.f64 x x))
0.5b
(*.f64 (/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)) z)
0.2b
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
0.0b
(+.f64 x (*.f64 (/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)) z))
0.2b
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
0.5b
(*.f64 (/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)) z)
2.1b
(-.f64 (*.f64 y y) (*.f64 x x))
23.6b
(/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))

rewrite45.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
20×add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
17×*-un-lft-identity_binary64_22925
15×add-sqr-sqrt_binary64_22947
13×associate-*l*_binary64_22866
11×add-cube-cbrt_binary64_22960
8×pow1_binary64_22986 times-frac_binary64_22931
7×associate-*r*_binary64_22865
6×prod-exp_binary64_22974 add-log-exp_binary64_22964 cbrt-unprod_binary64_22958
4×cbrt-undiv_binary64_22959 associate-*r/_binary64_22867 associate-/r*_binary64_22869 associate-/r/_binary64_22871 div-exp_binary64_22976
3×sub-neg_binary64_22918 flip--_binary64_22900 cancel-sign-sub-inv_binary64_22891 distribute-lft-out_binary64_22876 flip3--_binary64_22929
2×*-commutative_binary64_22856 pow-prod-down_binary64_22996 difference-of-squares_binary64_22894 div-inv_binary64_22922 unswap-sqr_binary64_22893 flip3-+_binary64_22928 flip-+_binary64_22899 associate-/l/_binary64_22872 distribute-lft-in_binary64_22874 distribute-rgt-in_binary64_22875
1×diff-log_binary64_23017 frac-2neg_binary64_22936 associate-*l/_binary64_22868 clear-num_binary64_22924 associate-/l*_binary64_22870
Counts
4 → 95
Calls

8 calls:

13.0ms
(/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))
12.0ms
(*.f64 (/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)) z)
7.0ms
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
4.0ms
(-.f64 (*.f64 y y) (*.f64 x x))
0.0ms
(+.f64 x (*.f64 (/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)) z))

series627.0ms (10.1%)

Counts
4 → 51
Calls

4 calls:

265.0ms
(*.f64 (/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)) z)
137.0ms
(/.f64 (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))
124.0ms
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
101.0ms
(-.f64 (*.f64 y y) (*.f64 x x))
Compiler

Compiled 1068 to 918 computations (14% saved)

simplify72.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050011739

prune115.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1451146
Fresh314
Picked101
Done033
Total1495154
Error
0b
Counts
154 → 5
Compiler

Compiled 2453 to 947 computations (61.4% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0247596
1247596

regimes142.0ms (2.3%)

Compiler

Compiled 1140 to 939 computations (17.6% saved)

bsearch0.0ms (0%)

regimes130.0ms (2.1%)

Compiler

Compiled 180 to 228 computations (-26.7% saved)

bsearch28.0ms (0.4%)

Steps
ItersRangePoint
8
0.0008356622548412558
1.915248178685038
0.16855120383818492
7
-0.7427544069914732
-0.006226319988244784
-0.17658168814024838
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes125.0ms (2%)

Compiler

Compiled 159 to 207 computations (-30.2% saved)

bsearch26.0ms (0.4%)

Steps
ItersRangePoint
8
0.0008356622548412558
1.915248178685038
0.16855120383818492
7
-0.7427544069914732
-0.006226319988244784
-0.13620138991568423
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes106.0ms (1.7%)

Compiler

Compiled 96 to 144 computations (-50% saved)

bsearch50.0ms (0.8%)

Steps
ItersRangePoint
8
6.628762321788498e+41
4.286694520968404e+45
6.714509211945516e+41
9
-1.8696616590056354e-62
-2.30775810980056e-67
-1.6676184583370275e-62
8
-4.5986671997722204e-30
-7.027430543184311e-34
-8.42304440601199e-32
1
-4.876619241494746e+52
-4.5552852994556143e+52
-4.763446752376647e+52
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes94.0ms (1.5%)

Compiler

Compiled 75 to 123 computations (-64% saved)

bsearch26.0ms (0.4%)

Steps
ItersRangePoint
9
1.4442522117755578e-136
1.50253921712077e-130
2.6887604965764204e-132
5
-9.350038607995698e-201
-3.519317504174323e-201
-9.211858850451974e-201
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes39.0ms (0.6%)

Compiler

Compiled 54 to 102 computations (-88.9% saved)

bsearch0.0ms (0%)

regimes92.0ms (1.5%)

Compiler

Compiled 33 to 81 computations (-145.5% saved)

bsearch23.0ms (0.4%)

Steps
ItersRangePoint
9
6.8460523085683435e-65
1.1387647867507897e-57
3.730656972945036e-58
6
-9.750173532991806e-09
-7.693910810081602e-10
-1.1661383091935057e-09
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.5%)

Compiler

Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.4%)

Accuracy

Total 0.2b remaining (96.7%)

Threshold costs 0.2b (96.7%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch8.0ms (0.1%)

Compiler

Compiled 175 to 130 computations (25.7% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
098223
198223

end0.0ms (0%)

sample1.1s (17%)

Algorithm
1×intervals
Results
228.0ms8000×body128valid
16.0ms589×body128invalid
Compiler

Compiled 550 to 449 computations (18.4% saved)

Pareto

0.5117880201198736

Profiling

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