Details

Time bar (total: 5.5s)

analyze347.0ms (6.3%)

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample34.0ms (0.6%)

Algorithm
intervals
Results
18.0ms256×body128valid
1.0ms14×body128invalid
Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify128.0ms (2.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
011116
111116

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.6b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

3.5b
(*.f64 y (+.f64 1 (*.f64 z z)))
5.2b
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

rewrite41.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64_6904
26×add-exp-log_binary64_6936
20×add-sqr-sqrt_binary64_6920
18×add-cube-cbrt_binary64_6933 *-un-lft-identity_binary64_6898
16×add-cbrt-cube_binary64_6934
13×associate-/l*_binary64_6843
12×div-exp_binary64_6949
cbrt-undiv_binary64_6932
prod-exp_binary64_6947
pow1_binary64_6959 associate-*r/_binary64_6840
associate-*r*_binary64_6838 cbrt-unprod_binary64_6931 div-inv_binary64_6895 associate-*l*_binary64_6839
flip-+_binary64_6872 1-exp_binary64_6942 add-log-exp_binary64_6937 flip3-+_binary64_6901 rec-exp_binary64_6948 associate-/r/_binary64_6844
distribute-lft-in_binary64_6847 unswap-sqr_binary64_6866 *-commutative_binary64_6829 clear-num_binary64_6897 pow-prod-down_binary64_6969 associate-/r*_binary64_6842 frac-2neg_binary64_6909 associate-/l/_binary64_6845 distribute-rgt-in_binary64_6848
Counts
2 → 74
Calls

2 calls:

25.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
11.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))

series126.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

67.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
59.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))

simplify115.0ms (2.1%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
051901317

prune97.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New701080
Fresh000
Picked101
Done000
Total711081
Error
5.8b
Counts
81 → 10
Compiler

Compiled 1443 to 887 computations (38.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 1 x) y)
7.1b
(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

rewrite95.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
468×times-frac_binary64_6904
228×add-cube-cbrt_binary64_6933 add-sqr-sqrt_binary64_6920 *-un-lft-identity_binary64_6898
56×associate-/l*_binary64_6843
26×add-exp-log_binary64_6936
22×div-inv_binary64_6895
17×div-exp_binary64_6949
16×add-cbrt-cube_binary64_6934
cbrt-undiv_binary64_6932
associate-/r*_binary64_6842
1-exp_binary64_6942 pow1_binary64_6959 add-log-exp_binary64_6937 rec-exp_binary64_6948 associate-/r/_binary64_6844 clear-num_binary64_6897 frac-2neg_binary64_6909 associate-/l/_binary64_6845
flip-+_binary64_6872 flip3-+_binary64_6901
Counts
2 → 268
Calls

2 calls:

23.0ms
(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
11.0ms
(/.f64 (/.f64 1 x) y)

series94.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

75.0ms
(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
19.0ms
(/.f64 (/.f64 1 x) y)

simplify272.0ms (5%)

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 0 (128.0ms)

IterNodesCost
051557926

prune394.0ms (7.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2713274
Fresh279
Picked101
Done000
Total27410284
Error
5.8b
Counts
284 → 10
Compiler

Compiled 6530 to 3586 computations (45.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (/.f64 1 x) y)
0.6b
(/.f64 1 (+.f64 1 (*.f64 z z)))
6.7b
(*.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (*.f64 z z))))

rewrite77.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
182×times-frac_binary64_6904
135×add-sqr-sqrt_binary64_6920
102×*-un-lft-identity_binary64_6898
95×add-cube-cbrt_binary64_6933
81×add-exp-log_binary64_6936
43×associate-*l*_binary64_6839
42×div-exp_binary64_6949
31×add-cbrt-cube_binary64_6934
20×prod-exp_binary64_6947
16×associate-/l*_binary64_6843
15×associate-*r*_binary64_6838
13×cbrt-undiv_binary64_6932
12×unswap-sqr_binary64_6866
11×1-exp_binary64_6942 rec-exp_binary64_6948 div-inv_binary64_6895
pow1_binary64_6959 cbrt-unprod_binary64_6931 associate-/r*_binary64_6842
associate-/r/_binary64_6844
add-log-exp_binary64_6937
flip-+_binary64_6872 flip3-+_binary64_6901 clear-num_binary64_6897 frac-2neg_binary64_6909
un-div-inv_binary64_6896 pow-flip_binary64_6972 associate-*l/_binary64_6841 frac-times_binary64_6908 associate-*r/_binary64_6840 *-commutative_binary64_6829 pow-prod-down_binary64_6969 inv-pow_binary64_6983 associate-/l/_binary64_6845
Counts
3 → 214
Calls

3 calls:

43.0ms
(*.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (*.f64 z z))))
7.0ms
(/.f64 (/.f64 1 x) y)
5.0ms
(/.f64 1 (+.f64 1 (*.f64 z z)))

series88.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

55.0ms
(*.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (*.f64 z z))))
18.0ms
(/.f64 1 (+.f64 1 (*.f64 z z)))
15.0ms
(/.f64 (/.f64 1 x) y)

simplify189.0ms (3.4%)

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 0 (132.0ms)

IterNodesCost
049594017
149594017

prune311.0ms (5.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2230223
Fresh099
Picked011
Done000
Total22310233
Error
5.8b
Counts
233 → 10
Compiler

Compiled 4535 to 2711 computations (40.2% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 -1 (*.f64 x y))
7.1b
(/.f64 (/.f64 -1 (*.f64 x y)) (-.f64 -1 (*.f64 z z)))

rewrite19.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
46×times-frac_binary64_6904
30×add-sqr-sqrt_binary64_6920
22×add-cube-cbrt_binary64_6933 *-un-lft-identity_binary64_6898
16×add-exp-log_binary64_6936 add-cbrt-cube_binary64_6934
10×associate-/l*_binary64_6843
difference-of-squares_binary64_6867
div-exp_binary64_6949 cbrt-undiv_binary64_6932 div-inv_binary64_6895
associate-/r*_binary64_6842
prod-exp_binary64_6947 pow1_binary64_6959 add-log-exp_binary64_6937 associate-/r/_binary64_6844 cbrt-unprod_binary64_6931 clear-num_binary64_6897 frac-2neg_binary64_6909
flip--_binary64_6873 flip3--_binary64_6902 associate-/l/_binary64_6845
Counts
2 → 79
Calls

2 calls:

9.0ms
(/.f64 (/.f64 -1 (*.f64 x y)) (-.f64 -1 (*.f64 z z)))
4.0ms
(/.f64 -1 (*.f64 x y))

series86.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(/.f64 (/.f64 -1 (*.f64 x y)) (-.f64 -1 (*.f64 z z)))
20.0ms
(/.f64 -1 (*.f64 x y))

simplify118.0ms (2.1%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049621744
149621744

prune100.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done011
Total851095
Error
5.8b
Counts
95 → 10
Compiler

Compiled 1515 to 884 computations (41.7% saved)

regimes801.0ms (14.6%)

Accuracy

Total 0.4b remaining (7.6%)

Threshold costs 0.4b (7.6%)

Compiler

Compiled 5869 to 4968 computations (15.4% saved)

bsearch65.0ms (1.2%)

Steps
ItersRangePoint
7
1.1868609132044952e+77
8.600480462498733e+78
3.1105903794087183e+77
8
-6.825261082288636e-77
-8.413917732341973e-80
-6.497062429928583e-77
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03179
13179

end0.0ms (0%)

sample1.9s (33.7%)

Algorithm
intervals
Results
484.0ms8000×body128valid
26.0ms457×body128invalid
Compiler

Compiled 803 to 663 computations (17.4% saved)

Profiling

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