Details

Time bar (total: 2.1s)

analyze62.0ms

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

sample54.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms257×pre80true
0.0msbody80invalid

simplify918.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (189.0ms)

IterNodesCost
0504616

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:
7.0ms
(*.f64 m (-.f64 1 m))
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
14.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

series97.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(*.f64 m (-.f64 1 m))
30.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
37.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049841072
149841072

prune390.0ms

Filtered
56 candidates to 81 candidates (-44.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New75681
Fresh000
Picked011
Done000
Total75782

Merged error: 0.0b

Counts
82 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
0.4b
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
18×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
13×pow1_binary64 add-cube-cbrt_binary64
11×associate-*l*_binary64
sqrt-prod_binary64
cbrt-unprod_binary64 prod-exp_binary64 associate-*l/_binary64
pow-prod-down_binary64
add-log-exp_binary64 flip3--_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
associate-/r*_binary64 unswap-sqr_binary64 times-frac_binary64 *-commutative_binary64
associate-/l/_binary64 sub-neg_binary64 cbrt-undiv_binary64 distribute-lft-out--_binary64 div-exp_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
4 → 99
Calls
4 calls:
7.0ms
(*.f64 m (-.f64 1 m))
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
23.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
25.0ms
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

series204.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(*.f64 m (-.f64 1 m))
27.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
69.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
64.0ms
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

simplify138.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
052611802

prune48.0ms

Filtered
73 candidates to 111 candidates (-52.1%)

Profiling

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