Details

Time bar (total: 3.3s)

analyze54.0ms (1.6%)

Algorithm
search
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
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample23.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms257×pre80true
0.0msbody80invalid
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify300.0ms (9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
0477316
1477316

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite242.0ms (7.2%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-*l*_binary64
associate-*r*_binary64 add-cube-cbrt_binary64
pow1_binary64
associate-*r/_binary64 difference-of-squares_binary64
associate-/r*_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64 insert-posit16 flip--_binary64
pow-prod-down_binary64 associate-/l/_binary64 sub-neg_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
difference-of-sqr-1_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
3 → 75
Calls

3 calls:

220.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
9.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms
(*.f64 m (-.f64 1 m))

series187.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

69.0ms
(*.f64 m (-.f64 1 m))
68.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
50.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify120.0ms (3.6%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
054661095

prune95.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76884
Fresh000
Picked011
Done000
Total76985

Merged error: 0.0b

Counts
85 → 9
Compiler

Compiled 1528 to 1022 computations (33.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 v (*.f64 m (-.f64 1 m)))
0.1b
(*.f64 (-.f64 (/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m)))) 1) m)
0.3b
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

rewrite67.0ms (2%)

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt_binary64
48×times-frac_binary64
40×*-un-lft-identity_binary64
34×add-exp-log_binary64
28×add-cube-cbrt_binary64
22×add-cbrt-cube_binary64
17×associate-*l*_binary64
14×div-exp_binary64
12×associate-*r/_binary64
11×associate-/r/_binary64
10×associate-/r*_binary64
pow1_binary64 associate-*r*_binary64
difference-of-squares_binary64
flip3--_binary64 cbrt-undiv_binary64 div-inv_binary64 flip--_binary64
prod-exp_binary64 associate-/l*_binary64
add-log-exp_binary64 cbrt-unprod_binary64 insert-posit16
1-exp_binary64 difference-of-sqr-1_binary64 rec-exp_binary64 distribute-lft-out--_binary64
pow-prod-down_binary64 sub-neg_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 inv-pow_binary64 pow-flip_binary64
Counts
4 → 147
Calls

4 calls:

27.0ms
(*.f64 (-.f64 (/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m)))) 1) m)
15.0ms
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
9.0ms
(*.f64 m (-.f64 1 m))
9.0ms
(/.f64 v (*.f64 m (-.f64 1 m)))

series284.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

89.0ms
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
72.0ms
(*.f64 (-.f64 (/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m)))) 1) m)
63.0ms
(/.f64 v (*.f64 m (-.f64 1 m)))
61.0ms
(*.f64 m (-.f64 1 m))

simplify142.0ms (4.3%)

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
054672377

prune164.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1581159
Fresh257
Picked101
Done011
Total1617168

Merged error: 0.0b

Counts
168 → 7
Compiler

Compiled 3023 to 2077 computations (31.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)
0.0b
(*.f64 m (-.f64 1 m))
0.2b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))

rewrite41.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64
26×add-sqr-sqrt_binary64
25×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
17×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-/r*_binary64
associate-*r*_binary64 cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64
associate-*r/_binary64
sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 difference-of-squares_binary64 div-inv_binary64 insert-posit16 flip--_binary64
associate-/l/_binary64 associate-/r/_binary64 distribute-lft-out--_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-rgt-out--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 *-commutative_binary64
Counts
3 → 90
Calls

3 calls:

16.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)
12.0ms
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
9.0ms
(*.f64 m (-.f64 1 m))

series171.0ms (5.1%)

Counts
3 → 9
Calls

3 calls:

65.0ms
(*.f64 m (-.f64 1 m))
65.0ms
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
41.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)

simplify171.0ms (5.1%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (143.0ms)

IterNodesCost
049611511
149611511

prune88.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New96399
Fresh415
Picked011
Done101
Total1015106

Merged error: 0b

Counts
106 → 5
Compiler

Compiled 1645 to 820 computations (50.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m))) m)
0.0b
(*.f64 m (-.f64 1 m))
0.2b
(*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m)))

rewrite41.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
16×associate-*l*_binary64
15×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
11×sub-neg_binary64
10×pow1_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 times-frac_binary64
associate-*r/_binary64
cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
add-log-exp_binary64
pow-prod-down_binary64 flip3--_binary64 flip--_binary64 associate--l+_binary64
insert-posit16
cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64 frac-times_binary64 *-commutative_binary64
diff-log_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 div-inv_binary64 associate-*l/_binary64
Counts
3 → 84
Calls

3 calls:

14.0ms
(-.f64 (*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m))) m)
13.0ms
(*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m)))
8.0ms
(*.f64 m (-.f64 1 m))

series178.0ms (5.4%)

Counts
3 → 9
Calls

3 calls:

71.0ms
(*.f64 m (-.f64 1 m))
64.0ms
(*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m)))
43.0ms
(-.f64 (*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m))) m)

simplify130.0ms (3.9%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
050511295

prune71.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh033
Picked011
Done011
Total93598

Merged error: 0b

Counts
98 → 5
Compiler

Compiled 1468 to 749 computations (49% saved)

regimes30.0ms (0.9%)

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02416
12416

end0.0ms (0%)

sample692.0ms (20.7%)

Algorithm
intervals
Results
252.0ms8000×body80valid
163.0ms8072×pre80true
2.0ms72×body80invalid
Compiler

Compiled 110 to 82 computations (25.5% saved)

Profiling

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