Details

Time bar (total: 4.8s)

analyze716.0ms (14.9%)

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
9.4%90.5%0.1%7
14%85.8%0.1%8
21.1%78%0.9%9
37.3%60.3%2.5%10
39.7%56.1%4.2%11
45.6%48.7%5.7%12
55.9%35.1%8.9%13
57.6%32.1%10.3%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample30.0ms (0.6%)

Algorithm
intervals
Results
15.0ms256×body128valid
1.0ms31×body128invalid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify670.0ms (14%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (547.0ms)

IterNodesCost
0565913

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.6b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 y (-.f64 z x))
0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
8.1b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite30.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_13058
19×*-un-lft-identity_binary64_13036
17×add-cube-cbrt_binary64_13071
12×cancel-sign-sub-inv_binary64_13002
times-frac_binary64_13042
distribute-rgt-in_binary64_12986 distribute-lft-in_binary64_12985 associate-+r+_binary64_12968
add-cbrt-cube_binary64_13072 add-exp-log_binary64_13074
associate-*r*_binary64_12976 add-log-exp_binary64_13075 pow1_binary64_13097
sub-neg_binary64_13029
associate-*l*_binary64_12977 associate-/r*_binary64_12980 associate-/l*_binary64_12981
flip3-+_binary64_13039 flip-+_binary64_13010 associate-*r/_binary64_12978 associate-/l/_binary64_12983
flip--_binary64_13011 clear-num_binary64_13035 cbrt-undiv_binary64_13070 unswap-sqr_binary64_13004 div-inv_binary64_13033 distribute-lft-out--_binary64_12988 flip3--_binary64_13040 div-exp_binary64_13087 prod-exp_binary64_13085 difference-of-squares_binary64_13005 *-commutative_binary64_12967 frac-2neg_binary64_13047 pow-prod-down_binary64_13107 cbrt-unprod_binary64_13069 sum-log_binary64_13127 +-commutative_binary64_12966
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
8.0ms
(*.f64 y (-.f64 z x))
7.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series124.0ms (2.6%)

Counts
3 → 9
Calls

3 calls:

52.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
44.0ms
(*.f64 y (-.f64 z x))
27.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

simplify106.0ms (2.2%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
050301239

prune121.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New82587
Fresh000
Picked101
Done000
Total83588
Error
4.3b
Counts
88 → 5
Compiler

Compiled 1371 to 314 computations (77.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
0.0b
(-.f64 (*.f64 x y) x)
4.1b
(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite53.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_13058
21×*-un-lft-identity_binary64_13036
19×times-frac_binary64_13042 add-cube-cbrt_binary64_13071
16×cancel-sign-sub-inv_binary64_13002
add-log-exp_binary64_13075
add-cbrt-cube_binary64_13072 add-exp-log_binary64_13074
flip--_binary64_13011 flip3--_binary64_13040 associate-/r*_binary64_12980 pow1_binary64_13097 associate-/l*_binary64_12981
div-sub_binary64_13041 div-inv_binary64_13033 sub-neg_binary64_13029 difference-of-squares_binary64_13005 diff-log_binary64_13128 associate-/l/_binary64_12983
clear-num_binary64_13035 cbrt-undiv_binary64_13070 distribute-lft-out--_binary64_12988 div-exp_binary64_13087 frac-2neg_binary64_13047 associate--r-_binary64_12975
Counts
3 → 72
Calls

3 calls:

23.0ms
(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
12.0ms
(/.f64 (-.f64 (*.f64 x y) x) z)
8.0ms
(-.f64 (*.f64 x y) x)

series168.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

70.0ms
(/.f64 (-.f64 (*.f64 x y) x) z)
55.0ms
(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
43.0ms
(-.f64 (*.f64 x y) x)

simplify85.0ms (1.8%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049661272
149661272

prune60.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh134
Picked011
Done000
Total81586
Error
4.3b
Counts
86 → 5
Compiler

Compiled 1240 to 268 computations (78.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 y (-.f64 z x))
0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
0.2b
(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
8.1b
(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite76.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64_13042
66×add-sqr-sqrt_binary64_13058
64×*-un-lft-identity_binary64_13036
62×add-cube-cbrt_binary64_13071
19×add-exp-log_binary64_13074
18×associate-/r*_binary64_12980
13×add-cbrt-cube_binary64_13072
12×cancel-sign-sub-inv_binary64_13002
11×associate-/r/_binary64_12982
distribute-rgt-in_binary64_12986 distribute-lft-in_binary64_12985 div-exp_binary64_13087 associate-+r+_binary64_12968
pow1_binary64_13097
add-log-exp_binary64_13075 div-inv_binary64_13033 flip3-+_binary64_13039 flip-+_binary64_13010 associate-/l*_binary64_12981
associate-*r*_binary64_12976
cbrt-undiv_binary64_13070 sub-neg_binary64_13029
associate-*l*_binary64_12977
clear-num_binary64_13035 rec-exp_binary64_13086 associate-*r/_binary64_12978 1-exp_binary64_13080 frac-2neg_binary64_13047
flip--_binary64_13011 inv-pow_binary64_13121 unswap-sqr_binary64_13004 distribute-lft-out--_binary64_12988 flip3--_binary64_13040 pow-flip_binary64_13110 prod-exp_binary64_13085 difference-of-squares_binary64_13005 *-commutative_binary64_12967 pow-prod-down_binary64_13107 cbrt-unprod_binary64_13069 sum-log_binary64_13127 +-commutative_binary64_12966
Counts
4 → 162
Calls

4 calls:

15.0ms
(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
13.0ms
(*.f64 y (-.f64 z x))
9.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
8.0ms
(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

series283.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

145.0ms
(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
64.0ms
(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
38.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
35.0ms
(*.f64 y (-.f64 z x))

simplify145.0ms (3%)

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
051383563

prune185.0ms (3.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1722174
Fresh213
Picked101
Done101
Total1763179
Error
0.0b
Counts
179 → 3
Compiler

Compiled 3361 to 815 computations (75.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
2.6b
(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_13058
17×*-un-lft-identity_binary64_13036
14×add-cube-cbrt_binary64_13071
13×associate-*l*_binary64_12977
12×cancel-sign-sub-inv_binary64_13002
10×times-frac_binary64_13042
distribute-rgt-in_binary64_12986 distribute-lft-in_binary64_12985 associate-+r+_binary64_12968
add-cbrt-cube_binary64_13072 add-exp-log_binary64_13074
associate-*r*_binary64_12976
add-log-exp_binary64_13075 sub-neg_binary64_13029 pow1_binary64_13097
flip--_binary64_13011 unswap-sqr_binary64_13004 flip3--_binary64_13040 prod-exp_binary64_13085 difference-of-squares_binary64_13005 associate-*r/_binary64_12978 frac-times_binary64_13046 cbrt-unprod_binary64_13069
cbrt-undiv_binary64_13070 div-inv_binary64_13033 distribute-lft-out--_binary64_12988 div-exp_binary64_13087 associate-*l/_binary64_12979 flip3-+_binary64_13039 flip-+_binary64_13010 *-commutative_binary64_12967 pow-prod-down_binary64_13107 sum-log_binary64_13127 +-commutative_binary64_12966
Counts
2 → 66
Calls

2 calls:

12.0ms
(*.f64 (/.f64 x z) (-.f64 1 y))
5.0ms
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))

series90.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
41.0ms
(*.f64 (/.f64 x z) (-.f64 1 y))

simplify121.0ms (2.5%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04955969
14955969

prune75.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh022
Picked011
Done000
Total70575
Error
0b
Counts
75 → 5
Compiler

Compiled 1057 to 461 computations (56.4% saved)

regimes256.0ms (5.3%)

Accuracy

Total 0.0b remaining (95.1%)

Threshold costs 0.0b (95.1%)

Compiler

Compiled 1831 to 1084 computations (40.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02113
12113

end0.0ms (0%)

sample1.3s (27.8%)

Algorithm
intervals
Results
351.0ms8000×body128valid
54.0ms1099×body128invalid
Compiler

Compiled 458 to 276 computations (39.7% saved)

Profiling

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