Details

Time bar (total: 3.1s)

analyze257.0ms (8.4%)

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)

sample25.0ms (0.8%)

Algorithm
intervals
Results
10.0ms256×body128valid
6.0ms257×pre128true
0.0msbody128invalid
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify305.0ms (9.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0477216
1477216

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)

rewrite37.0ms (1.2%)

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 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 → 72
Calls

3 calls:

15.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms
(*.f64 m (-.f64 1 m))

series175.0ms (5.7%)

Counts
3 → 9
Calls

3 calls:

67.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
55.0ms
(*.f64 m (-.f64 1 m))
53.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify68.0ms (2.2%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
054611056

prune92.0ms (3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73881
Fresh000
Picked011
Done000
Total73982

Merged error: 0.0b

Counts
82 → 9
Compiler

Compiled 1489 to 995 computations (33.2% 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 (2.2%)

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
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 → 143
Calls

4 calls:

28.0ms
(*.f64 (-.f64 (/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m)))) 1) m)
10.0ms
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
8.0ms
(/.f64 v (*.f64 m (-.f64 1 m)))
8.0ms
(*.f64 m (-.f64 1 m))

series277.0ms (9%)

Counts
4 → 12
Calls

4 calls:

88.0ms
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
68.0ms
(/.f64 v (*.f64 m (-.f64 1 m)))
65.0ms
(*.f64 (-.f64 (/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m)))) 1) m)
56.0ms
(*.f64 m (-.f64 1 m))

simplify79.0ms (2.6%)

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
054612326

prune153.0ms (5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1541155
Fresh257
Picked101
Done011
Total1577164

Merged error: 0.0b

Counts
164 → 7
Compiler

Compiled 2967 to 2037 computations (31.3% saved)

localize8.0ms (0.3%)

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))

rewrite43.0ms (1.4%)

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 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 → 87
Calls

3 calls:

18.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)
11.0ms
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
7.0ms
(*.f64 m (-.f64 1 m))

series163.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

61.0ms
(*.f64 m (-.f64 1 m))
59.0ms
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
43.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)

simplify88.0ms (2.9%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049641469
149641469

prune85.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New93396
Fresh415
Picked011
Done101
Total985103

Merged error: 0b

Counts
103 → 5
Compiler

Compiled 1606 to 799 computations (50.2% saved)

localize8.0ms (0.3%)

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)))

rewrite39.0ms (1.3%)

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
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 → 81
Calls

3 calls:

13.0ms
(*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m)))
12.0ms
(-.f64 (*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m))) m)
8.0ms
(*.f64 m (-.f64 1 m))

series169.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

71.0ms
(*.f64 m (-.f64 1 m))
58.0ms
(*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m)))
39.0ms
(-.f64 (*.f64 (/.f64 m v) (*.f64 m (-.f64 1 m))) m)

simplify70.0ms (2.3%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050461253

prune68.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh033
Picked011
Done011
Total90595

Merged error: 0b

Counts
95 → 5
Compiler

Compiled 1429 to 728 computations (49.1% saved)

regimes29.0ms (1%)

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02316
12316

end0.0ms (0%)

sample742.0ms (24.2%)

Algorithm
intervals
Results
291.0ms8000×body128valid
175.0ms8072×pre128true
3.0ms72×body128invalid
Compiler

Compiled 110 to 82 computations (25.5% saved)

Profiling

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