Details

Time bar (total: 3.3s)

analyze251.0ms (7.7%)

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×body128valid
6.0ms259×pre128true
0.0msbody128invalid
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify334.0ms (10.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (150.0ms)

IterNodesCost
0480916
1480916

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite41.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
11×add-cube-cbrt_binary64
10×associate-*l*_binary64
associate-*r*_binary64
pow1_binary64
cancel-sign-sub-inv_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_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 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
3 → 78
Calls

3 calls:

17.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
9.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms
(*.f64 m (-.f64 1 m))

series181.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

66.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
59.0ms
(*.f64 m (-.f64 1 m))
56.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify72.0ms (2.2%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049461098
149461098

prune335.0ms (10.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New78987
Fresh000
Picked011
Done000
Total781088

Merged error: 0.0b

Counts
88 → 10
Compiler

Compiled 6296 to 4623 computations (26.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite78.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
171×times-frac_binary64
152×add-sqr-sqrt_binary64
134×*-un-lft-identity_binary64
81×add-cube-cbrt_binary64
38×difference-of-squares_binary64
30×associate-/r*_binary64
17×distribute-lft-out--_binary64
13×associate-*l*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
11×associate-/r/_binary64
flip3--_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
pow1_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 associate-*r*_binary64 difference-of-sqr-1_binary64
clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 185
Calls

3 calls:

41.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
11.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms
(/.f64 v (-.f64 1 m))

series162.0ms (5%)

Counts
3 → 9
Calls

3 calls:

54.0ms
(/.f64 v (-.f64 1 m))
54.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
53.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))

simplify97.0ms (3%)

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050203769

prune245.0ms (7.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1931194
Fresh088
Picked011
Done101
Total19410204

Merged error: 0.0b

Counts
204 → 10
Compiler

Compiled 4857 to 3003 computations (38.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
16×associate-*l*_binary64
14×add-cube-cbrt_binary64
10×times-frac_binary64
associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 cancel-sign-sub-inv_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 associate-*l/_binary64
pow-prod-down_binary64 add-log-exp_binary64 sub-neg_binary64 associate-*r/_binary64 difference-of-squares_binary64 frac-times_binary64 *-commutative_binary64
cbrt-undiv_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 67
Calls

2 calls:

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

series104.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

56.0ms
(*.f64 (/.f64 m v) (-.f64 1 m))
48.0ms
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) m)

simplify62.0ms (1.9%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052551070

prune76.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh358
Picked011
Done011
Total75883

Merged error: 0.0b

Counts
83 → 8
Compiler

Compiled 1579 to 935 computations (40.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite44.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64
37×times-frac_binary64
27×add-cube-cbrt_binary64
25×associate-*r*_binary64
14×difference-of-squares_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 distribute-lft-out--_binary64
associate-*l*_binary64 associate-/l*_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 associate-*l/_binary64 *-commutative_binary64
associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64
Counts
3 → 103
Calls

3 calls:

15.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
13.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
7.0ms
(/.f64 (-.f64 1 m) v)

series136.0ms (4.2%)

Counts
3 → 9
Calls

3 calls:

47.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
44.0ms
(/.f64 (-.f64 1 m) v)
44.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)

simplify73.0ms (2.2%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
058631591

prune106.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh055
Picked011
Done022
Total1128120

Merged error: 0.0b

Counts
120 → 8
Compiler

Compiled 2111 to 1352 computations (36% saved)

regimes39.0ms (1.2%)

Compiler

Compiled 298 to 232 computations (22.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03116
13116

end0.0ms (0%)

sample737.0ms (22.6%)

Algorithm
intervals
Results
255.0ms8000×body128valid
163.0ms8062×pre128true
2.0ms62×body128invalid
Compiler

Compiled 179 to 139 computations (22.3% saved)

Profiling

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