Details

Time bar (total: 12.6s)

analyze429.0ms (3.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026364
126364
033
133
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
Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample184.0ms (1.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms21×body128invalid
Compiler

Compiled 3347 to 3902 computations (-16.6% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
011116
111116

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.1b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.4b
(*.f64 y (+.f64 1 (*.f64 z z)))
4.0b
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

rewrite121.0ms (1%)

Algorithm
rewrite-expression-head
Error
4.8b
Rules
31×times-frac_binary64_10655
26×add-exp-log_binary64_10687
20×add-sqr-sqrt_binary64_10671
18×add-cube-cbrt_binary64_10684 *-un-lft-identity_binary64_10649
16×add-cbrt-cube_binary64_10685
13×associate-/l*_binary64_10594
12×div-exp_binary64_10700
cbrt-undiv_binary64_10683
prod-exp_binary64_10698
pow1_binary64_10710 associate-*r/_binary64_10591
cbrt-unprod_binary64_10682 div-inv_binary64_10646 associate-*l*_binary64_10590 associate-*r*_binary64_10589
1-exp_binary64_10693 rec-exp_binary64_10699 add-log-exp_binary64_10688 flip3-+_binary64_10652 associate-/r/_binary64_10595 flip-+_binary64_10623
frac-2neg_binary64_10660 clear-num_binary64_10648 associate-/l/_binary64_10596 associate-/r*_binary64_10593 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 *-commutative_binary64_10580
Counts
2 → 74
Calls

2 calls:

9.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
6.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))
Compiler

Compiled 1418 to 830 computations (41.5% saved)

series452.0ms (3.6%)

Error
4.8b
Counts
2 → 26
Calls

2 calls:

317.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
107.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))
Compiler

Compiled 933 to 742 computations (20.5% saved)

simplify68.0ms (0.5%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049511760
149511760

prune107.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New928100
Fresh000
Picked011
Done000
Total929101
Error
4.8b
Counts
101 → 9
Compiler

Compiled 1700 to 755 computations (55.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 1 (*.f64 x y))
5.6b
(/.f64 (/.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 z z)))

rewrite107.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
4.8b
Rules
36×times-frac_binary64_10655
32×add-exp-log_binary64_10687
20×add-cube-cbrt_binary64_10684 add-sqr-sqrt_binary64_10671 *-un-lft-identity_binary64_10649
16×add-cbrt-cube_binary64_10685
15×div-exp_binary64_10700
10×associate-/l*_binary64_10594
cbrt-undiv_binary64_10683
prod-exp_binary64_10698 div-inv_binary64_10646
pow1_binary64_10710
1-exp_binary64_10693 rec-exp_binary64_10699 associate-/r*_binary64_10593
add-log-exp_binary64_10688 cbrt-unprod_binary64_10682 frac-2neg_binary64_10660 clear-num_binary64_10648 associate-/r/_binary64_10595 pow-flip_binary64_10723
associate-/l/_binary64_10596 flip3-+_binary64_10652 flip-+_binary64_10623 inv-pow_binary64_10734 pow-prod-down_binary64_10720
Counts
2 → 82
Calls

2 calls:

8.0ms
(/.f64 (/.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 z z)))
4.0ms
(/.f64 1 (*.f64 x y))
Compiler

Compiled 1594 to 889 computations (44.2% saved)

series434.0ms (3.5%)

Error
4.8b
Counts
2 → 23
Calls

2 calls:

336.0ms
(/.f64 (/.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 z z)))
78.0ms
(/.f64 1 (*.f64 x y))
Compiler

Compiled 887 to 683 computations (23% saved)

simplify77.0ms (0.6%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
053161983

prune101.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh077
Picked011
Done011
Total1059114
Error
4.8b
Counts
114 → 9
Compiler

Compiled 1860 to 900 computations (51.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b
(/.f64 1 (+.f64 x (*.f64 x (*.f64 z z))))
3.2b
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (*.f64 x (*.f64 z z)))))
10.4b
(*.f64 x (*.f64 z z))

rewrite176.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
1.7b
Rules
52×add-exp-log_binary64_10687
51×add-sqr-sqrt_binary64_10671
39×times-frac_binary64_10655
32×*-un-lft-identity_binary64_10649
26×add-cube-cbrt_binary64_10684
22×add-cbrt-cube_binary64_10685
19×prod-exp_binary64_10698
18×div-exp_binary64_10700
16×associate-*l*_binary64_10590 associate-*r*_binary64_10589
13×pow1_binary64_10710
10×unswap-sqr_binary64_10617
1-exp_binary64_10693 rec-exp_binary64_10699
cbrt-unprod_binary64_10682
pow-prod-down_binary64_10720
cbrt-undiv_binary64_10683
associate-/r/_binary64_10595
add-log-exp_binary64_10688 inv-pow_binary64_10734 pow-flip_binary64_10723 div-inv_binary64_10646 associate-/l*_binary64_10594 associate-/r*_binary64_10593
*-commutative_binary64_10580 flip3-+_binary64_10652 flip-+_binary64_10623
frac-times_binary64_10659 un-div-inv_binary64_10647 associate-*l/_binary64_10592 associate-*r/_binary64_10591 frac-2neg_binary64_10660 clear-num_binary64_10648
Counts
3 → 124
Calls

3 calls:

14.0ms
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (*.f64 x (*.f64 z z)))))
6.0ms
(*.f64 x (*.f64 z z))
5.0ms
(/.f64 1 (+.f64 x (*.f64 x (*.f64 z z))))
Compiler

Compiled 2761 to 1156 computations (58.1% saved)

series608.0ms (4.8%)

Error
4.8b
Counts
3 → 37
Calls

3 calls:

317.0ms
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (*.f64 x (*.f64 z z)))))
167.0ms
(/.f64 1 (+.f64 x (*.f64 x (*.f64 z z))))
85.0ms
(*.f64 x (*.f64 z z))
Compiler

Compiled 1511 to 1211 computations (19.9% saved)

simplify81.0ms (0.6%)

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049423009
149423009

prune150.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1565161
Fresh336
Picked101
Done022
Total16010170
Error
1.7b
Counts
170 → 10
Compiler

Compiled 3053 to 1204 computations (60.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 x z) z)
0.6b
(/.f64 1 (+.f64 x (*.f64 (*.f64 x z) z)))
3.2b
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (*.f64 (*.f64 x z) z))))

rewrite168.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
1.7b
Rules
52×add-exp-log_binary64_10687
50×add-sqr-sqrt_binary64_10671
39×times-frac_binary64_10655
32×*-un-lft-identity_binary64_10649
26×add-cube-cbrt_binary64_10684
22×add-cbrt-cube_binary64_10685
19×prod-exp_binary64_10698
18×div-exp_binary64_10700 associate-*r*_binary64_10589
14×associate-*l*_binary64_10590
13×pow1_binary64_10710
1-exp_binary64_10693 rec-exp_binary64_10699 unswap-sqr_binary64_10617
cbrt-unprod_binary64_10682
pow-prod-down_binary64_10720
cbrt-undiv_binary64_10683
associate-/r/_binary64_10595
inv-pow_binary64_10734 pow-flip_binary64_10723 add-log-exp_binary64_10688 div-inv_binary64_10646 associate-/l*_binary64_10594 associate-/r*_binary64_10593
flip3-+_binary64_10652 flip-+_binary64_10623 *-commutative_binary64_10580
frac-times_binary64_10659 un-div-inv_binary64_10647 associate-*l/_binary64_10592 associate-*r/_binary64_10591 frac-2neg_binary64_10660 clear-num_binary64_10648
Counts
3 → 123
Calls

3 calls:

17.0ms
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (*.f64 (*.f64 x z) z))))
5.0ms
(*.f64 (*.f64 x z) z)
5.0ms
(/.f64 1 (+.f64 x (*.f64 (*.f64 x z) z)))
Compiler

Compiled 2744 to 1149 computations (58.1% saved)

series611.0ms (4.9%)

Error
1.7b
Counts
3 → 37
Calls

3 calls:

320.0ms
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (*.f64 (*.f64 x z) z))))
170.0ms
(/.f64 1 (+.f64 x (*.f64 (*.f64 x z) z)))
86.0ms
(*.f64 (*.f64 x z) z)
Compiler

Compiled 1511 to 1211 computations (19.9% saved)

simplify78.0ms (0.6%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049443000
149443000

prune146.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1582160
Fresh257
Picked101
Done022
Total1619170
Error
1.7b
Counts
170 → 9
Compiler

Compiled 2926 to 1120 computations (61.7% saved)

regimes1.5s (11.6%)

Accuracy

Total 0.3b remaining (10.9%)

Threshold costs 0.3b (10.9%)

Compiler

Compiled 13539 to 10826 computations (20% saved)

bsearch4.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03166
13166
Compiler

Compiled 90 to 58 computations (35.6% saved)

end0.0ms (0%)

sample7.0s (55.3%)

Algorithm
intervals
Results
302.0ms8000×body128valid
32.0ms683×body128invalid
Compiler

Compiled 105631 to 122695 computations (-16.2% saved)

Profiling

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