Details

Time bar (total: 5.3s)

analyze669.0ms (12.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517652
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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms31×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify462.0ms (8.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (456.0ms)

IterNodesCost
0515213

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
11.4b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 (-.f64 y z) 1))
10.6b
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite103.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×*-un-lft-identity_binary64_18833
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
add-sqr-sqrt_binary64_18855
add-cube-cbrt_binary64_18868
associate-*r*_binary64_18773
pow1_binary64_18894 associate-*r/_binary64_18775
times-frac_binary64_18839 associate-/r*_binary64_18777 associate-*l*_binary64_18774
prod-exp_binary64_18882 div-exp_binary64_18884 add-log-exp_binary64_18872 cbrt-undiv_binary64_18867 cbrt-unprod_binary64_18866 flip3-+_binary64_18836 associate-/l/_binary64_18780 flip-+_binary64_18807 distribute-lft-out_binary64_18784
frac-2neg_binary64_18844 clear-num_binary64_18832 div-inv_binary64_18830 associate-/l*_binary64_18778 pow-prod-down_binary64_18904 unswap-sqr_binary64_18801 distribute-rgt-in_binary64_18783 distribute-lft-in_binary64_18782 distribute-lft-out--_binary64_18785 *-commutative_binary64_18764
Counts
2 → 47
Calls

2 calls:

18.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
16.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
Compiler

Compiled 770 to 389 computations (49.5% saved)

series317.0ms (6%)

Error
2.7b
Counts
2 → 30
Calls

2 calls:

196.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
105.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
Compiler

Compiled 694 to 431 computations (37.9% saved)

simplify83.0ms (1.6%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05150929

prune70.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh000
Picked101
Done000
Total74478
Error
0b
Counts
78 → 4
Compiler

Compiled 940 to 485 computations (48.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
2.1b
(*.f64 (/.f64 x z) y)

rewrite102.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64_18855
14×*-un-lft-identity_binary64_18833
13×associate-*l*_binary64_18774
12×add-cube-cbrt_binary64_18868
10×add-log-exp_binary64_18872 times-frac_binary64_18839
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
pow1_binary64_18894
associate-*r*_binary64_18773 cancel-sign-sub-inv_binary64_18799
prod-exp_binary64_18882 cbrt-unprod_binary64_18866 unswap-sqr_binary64_18801 associate-*l/_binary64_18776 sum-log_binary64_18924 diff-log_binary64_18925
pow-prod-down_binary64_18904 div-exp_binary64_18884 cbrt-undiv_binary64_18867 div-inv_binary64_18830 *-commutative_binary64_18764 frac-add_binary64_18841 flip3-+_binary64_18836 flip-+_binary64_18807 +-commutative_binary64_18763 flip3--_binary64_18837 sub-neg_binary64_18826 flip--_binary64_18808 difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785 associate--l+_binary64_18770
Counts
3 → 62
Calls

3 calls:

14.0ms
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
13.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
8.0ms
(*.f64 (/.f64 x z) y)
Compiler

Compiled 1200 to 286 computations (76.2% saved)

series483.0ms (9.2%)

Error
0b
Counts
3 → 36
Calls

3 calls:

198.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
149.0ms
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
110.0ms
(*.f64 (/.f64 x z) y)
Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify97.0ms (1.8%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049791145
149791145

prune75.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done000
Total984102
Error
0b
Counts
102 → 4
Compiler

Compiled 1352 to 465 computations (65.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (+.f64 y 1) z) z)
3.2b
(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite112.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
59×*-un-lft-identity_binary64_18833
43×add-sqr-sqrt_binary64_18855
37×times-frac_binary64_18839
24×add-cube-cbrt_binary64_18868
22×associate-*r*_binary64_18773
14×distribute-lft-out--_binary64_18785
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
difference-of-squares_binary64_18802 distribute-lft-out_binary64_18784
associate-/l*_binary64_18778
pow1_binary64_18894
associate-*l*_binary64_18774 associate-/r*_binary64_18777
div-exp_binary64_18884 prod-exp_binary64_18882 add-log-exp_binary64_18872 cbrt-unprod_binary64_18866 cbrt-undiv_binary64_18867 unswap-sqr_binary64_18801 div-inv_binary64_18830 associate-/l/_binary64_18780
pow-prod-down_binary64_18904 associate-*r/_binary64_18775 *-commutative_binary64_18764 frac-2neg_binary64_18844 div-sub_binary64_18838 clear-num_binary64_18832 flip3--_binary64_18837 flip--_binary64_18808
Counts
2 → 83
Calls

2 calls:

20.0ms
(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
10.0ms
(/.f64 (-.f64 (+.f64 y 1) z) z)
Compiler

Compiled 1496 to 878 computations (41.3% saved)

series302.0ms (5.7%)

Error
0b
Counts
2 → 27
Calls

2 calls:

196.0ms
(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
91.0ms
(/.f64 (-.f64 (+.f64 y 1) z) z)
Compiler

Compiled 597 to 417 computations (30.2% saved)

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051741620

prune103.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done011
Total1104114
Error
0b
Counts
114 → 4
Compiler

Compiled 1584 to 929 computations (41.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 (-.f64 y z) 1))
10.9b
(*.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))

rewrite89.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-exp-log_binary64_18871
18×associate-*r*_binary64_18773
16×add-cbrt-cube_binary64_18869 *-un-lft-identity_binary64_18833
13×prod-exp_binary64_18882 add-sqr-sqrt_binary64_18855
11×add-cube-cbrt_binary64_18868
pow1_binary64_18894 times-frac_binary64_18839
cbrt-unprod_binary64_18866 associate-*r/_binary64_18775
pow-prod-down_binary64_18904 div-exp_binary64_18884 associate-*l*_binary64_18774
flip3-+_binary64_18836 flip-+_binary64_18807
1-exp_binary64_18877 rec-exp_binary64_18883 add-log-exp_binary64_18872 cbrt-undiv_binary64_18867 frac-times_binary64_18843 associate-*l/_binary64_18776 *-commutative_binary64_18764 distribute-lft-out_binary64_18784
un-div-inv_binary64_18831 div-inv_binary64_18830 unswap-sqr_binary64_18801 distribute-rgt-in_binary64_18783 distribute-lft-in_binary64_18782 distribute-lft-out--_binary64_18785
Counts
2 → 66
Calls

2 calls:

15.0ms
(*.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
10.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
Compiler

Compiled 1265 to 730 computations (42.3% saved)

series348.0ms (6.6%)

Error
0b
Counts
2 → 30
Calls

2 calls:

200.0ms
(*.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) (/.f64 1 z))
125.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
Compiler

Compiled 772 to 515 computations (33.3% saved)

simplify61.0ms (1.1%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049851253
149851253

prune105.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done022
Total964100
Error
0b
Counts
100 → 4
Compiler

Compiled 1273 to 721 computations (43.4% saved)

regimes264.0ms (5%)

Accuracy

Total 1.7b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2050 to 1637 computations (20.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample1.3s (24.7%)

Algorithm
intervals
Results
282.0ms8000×body128valid
34.0ms1066×body128invalid
Compiler

Compiled 537 to 425 computations (20.9% saved)

Profiling

Loading profile data...