Details

Time bar (total: 5.4s)

analyze460.0ms (8.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0585632
022
122
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Symmetry
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample28.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
6.0ms257×pre128true
0.0msbody128invalid
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify127.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (122.0ms)

IterNodesCost
0474016
1474016

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

rewrite79.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_782
add-exp-log_binary64_798 add-cbrt-cube_binary64_796 *-un-lft-identity_binary64_760
associate-*l*_binary64_701
add-cube-cbrt_binary64_795
pow1_binary64_821
associate-*r*_binary64_700 times-frac_binary64_766 associate-/r*_binary64_704
prod-exp_binary64_809 add-log-exp_binary64_799 cbrt-unprod_binary64_793 flip3--_binary64_764 associate-*l/_binary64_703 flip--_binary64_735 difference-of-squares_binary64_729 div-exp_binary64_811 cbrt-undiv_binary64_794 associate-*r/_binary64_702 associate-/l/_binary64_707
pow-prod-down_binary64_831 unswap-sqr_binary64_728 difference-of-sqr-1_binary64_730 distribute-lft-out--_binary64_712 *-commutative_binary64_691 frac-2neg_binary64_771 clear-num_binary64_759 div-inv_binary64_757 associate-/l*_binary64_705
Counts
2 → 47
Calls

2 calls:

12.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 932 to 618 computations (33.7% saved)

series304.0ms (5.6%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

186.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
100.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 636 to 474 computations (25.5% saved)

simplify55.0ms (1%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05329993

prune62.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh000
Picked011
Done000
Total65772
Error
0.0b
Counts
72 → 7
Compiler

Compiled 1119 to 512 computations (54.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 v (-.f64 1 m))
0.0b
(/.f64 m (/.f64 v (-.f64 1 m)))
0.1b
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

rewrite267.0ms (5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
171×times-frac_binary64_766
152×add-sqr-sqrt_binary64_782
134×*-un-lft-identity_binary64_760
81×add-cube-cbrt_binary64_795
38×difference-of-squares_binary64_729
30×associate-/r*_binary64_704
17×distribute-lft-out--_binary64_712
13×associate-*l*_binary64_701
12×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
11×associate-/r/_binary64_706
flip3--_binary64_764 flip--_binary64_735 div-inv_binary64_757 associate-/l*_binary64_705
pow1_binary64_821
div-exp_binary64_811 cbrt-undiv_binary64_794
add-log-exp_binary64_799 difference-of-sqr-1_binary64_730 associate-*r*_binary64_700
associate-*l/_binary64_703 frac-2neg_binary64_771 clear-num_binary64_759
pow-prod-down_binary64_831 prod-exp_binary64_809 cbrt-unprod_binary64_793 unswap-sqr_binary64_728 *-commutative_binary64_691
Counts
3 → 185
Calls

3 calls:

35.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
10.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms
(/.f64 v (-.f64 1 m))
Compiler

Compiled 4076 to 2474 computations (39.3% saved)

series371.0ms (6.9%)

Error
0.0b
Counts
3 → 39
Calls

3 calls:

177.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
92.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
75.0ms
(/.f64 v (-.f64 1 m))
Compiler

Compiled 1159 to 825 computations (28.8% saved)

simplify82.0ms (1.5%)

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050624097

prune191.0ms (3.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2240224
Fresh055
Picked011
Done011
Total2247231
Error
0.0b
Counts
231 → 7
Compiler

Compiled 4221 to 2167 computations (48.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b
(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite84.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
31×add-sqr-sqrt_binary64_782
25×associate-*r*_binary64_700
24×*-un-lft-identity_binary64_760
19×times-frac_binary64_766
15×add-cube-cbrt_binary64_795
add-exp-log_binary64_798 add-cbrt-cube_binary64_796
pow1_binary64_821 associate-*l*_binary64_701 difference-of-squares_binary64_729
prod-exp_binary64_809 cbrt-unprod_binary64_793 unswap-sqr_binary64_728 distribute-lft-out--_binary64_712
pow-prod-down_binary64_831 add-log-exp_binary64_799 *-commutative_binary64_691 associate-*l/_binary64_703
div-exp_binary64_811 cbrt-undiv_binary64_794 associate-*r/_binary64_702 div-inv_binary64_757 flip3--_binary64_764 flip--_binary64_735
Counts
2 → 61
Calls

2 calls:

12.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
11.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
Compiler

Compiled 1241 to 797 computations (35.8% saved)

series293.0ms (5.4%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

180.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
98.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
Compiler

Compiled 636 to 474 computations (25.5% saved)

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050451163

prune68.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh044
Picked101
Done022
Total85792
Error
0.0b
Counts
92 → 7
Compiler

Compiled 1392 to 711 computations (48.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
0.0b
(-.f64 m (*.f64 m m))
0.2b
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))

rewrite80.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64_782
14×*-un-lft-identity_binary64_760
13×associate-*l*_binary64_701
12×add-cube-cbrt_binary64_795
10×times-frac_binary64_766
add-exp-log_binary64_798 add-cbrt-cube_binary64_796 cancel-sign-sub-inv_binary64_726
add-log-exp_binary64_799
sub-neg_binary64_753
pow1_binary64_821 associate-*r*_binary64_700
flip3--_binary64_764 flip--_binary64_735 distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709 associate--l+_binary64_697
prod-exp_binary64_809 cbrt-unprod_binary64_793 frac-times_binary64_770 unswap-sqr_binary64_728 associate-*r/_binary64_702 difference-of-squares_binary64_729 distribute-rgt-out--_binary64_714 diff-log_binary64_852
pow-prod-down_binary64_831 div-exp_binary64_811 cbrt-undiv_binary64_794 associate-*l/_binary64_703 div-inv_binary64_757 *-commutative_binary64_691
Counts
3 → 74
Calls

3 calls:

10.0ms
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
8.0ms
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
3.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 1440 to 313 computations (78.3% saved)

series363.0ms (6.7%)

Error
0.0b
Counts
3 → 30
Calls

3 calls:

173.0ms
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
136.0ms
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
34.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 785 to 569 computations (27.5% saved)

simplify91.0ms (1.7%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048961463
148961463

prune64.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh224
Picked101
Done112
Total1065111
Error
0b
Counts
111 → 5
Compiler

Compiled 1528 to 373 computations (75.6% saved)

regimes359.0ms (6.7%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 4184 to 2918 computations (30.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03316
13316
Removed

()

end0.0ms (0%)

sample1.9s (34.5%)

Algorithm
intervals
Results
257.0ms8000×body128valid
165.0ms8053×pre128true
2.0ms53×body128invalid
Compiler

Compiled 1418 to 991 computations (30.1% saved)

Profiling

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