Details

Time bar (total: 2.4s)

analyze104.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample23.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
0.0ms1×body80nan

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0514126

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 v v))
0.2b
(*.f64 PI.f64 t)
0.4b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log_binary64 add-cbrt-cube_binary64
18×associate-*r/_binary64
16×pow1_binary64
13×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×flip3--_binary64 associate-*r*_binary64 associate-/r/_binary64 flip--_binary64 sqrt-div_binary64
7×pow-prod-down_binary64 associate-*l*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-times_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 associate-*l/_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 94
Calls
4 calls:
6.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
11.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
18.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)
25.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
38.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

simplify38.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
055641795

prune114.0ms

Filtered
75 candidates to 106 candidates (-41.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh011
Picked101
Done000
Total9810108

Merged error: 0.3b

Counts
108 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
0.4b
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log_binary64 add-cbrt-cube_binary64
32×associate-*r/_binary64
23×pow1_binary64
18×cbrt-unprod_binary64 prod-exp_binary64
16×distribute-lft-in_binary64 distribute-rgt-in_binary64
12×pow-prod-down_binary64 sub-neg_binary64 associate-*l*_binary64 sqrt-div_binary64
11×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×flip3--_binary64 associate-/r/_binary64 flip--_binary64 frac-times_binary64
6×flip3-+_binary64 flip-+_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
3×associate-*r*_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
2×associate-/l/_binary64
1×associate-/r*_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 119
Calls
4 calls:
6.0ms
(*.f64 5 (*.f64 v v))
8.0ms
(*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
14.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
16.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 5 (*.f64 v v))
14.0ms
(*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
25.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
36.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050322573

prune125.0ms

Filtered
84 candidates to 131 candidates (-56.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1238131
Fresh909
Picked101
Done000
Total1338141

Merged error: 0.2b

Counts
141 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
0.7b
(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
1.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac_binary64
48×add-sqr-sqrt_binary64
47×*-un-lft-identity_binary64 add-cube-cbrt_binary64
37×add-exp-log_binary64 add-cbrt-cube_binary64
30×sqrt-prod_binary64
27×associate-/l*_binary64
14×pow1_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
10×cbrt-undiv_binary64 div-exp_binary64
8×associate-*r/_binary64 associate-/r/_binary64
7×associate-/r*_binary64
6×pow-prod-down_binary64 associate-*l*_binary64 sqrt-div_binary64
4×add-log-exp_binary64 sub-neg_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64
3×flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 div-sub_binary64 flip--_binary64 flip-+_binary64
2×associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
4 → 162
Calls
4 calls:
6.0ms
(*.f64 5 (*.f64 v v))
7.0ms
(*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
19.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
8.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 5 (*.f64 v v))
17.0ms
(*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
32.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 t (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
11.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049414108
149414108

prune173.0ms

Filtered
115 candidates to 174 candidates (-51.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1704174
Fresh617
Picked101
Done000
Total1775182

Merged error: 0b

Counts
182 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 (/.f64 1 t) (/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
1.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
1.0b
(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
131×times-frac_binary64
100×add-exp-log_binary64
75×add-sqr-sqrt_binary64
68×*-un-lft-identity_binary64
67×add-cube-cbrt_binary64
64×add-cbrt-cube_binary64
41×div-exp_binary64
39×sqrt-prod_binary64
33×prod-exp_binary64
31×associate-*r*_binary64
27×associate-/l*_binary64
24×cbrt-undiv_binary64
19×cbrt-unprod_binary64
16×associate-*l*_binary64
12×associate-/r/_binary64
11×pow1_binary64
8×sqrt-div_binary64
7×associate-/r*_binary64 div-inv_binary64
5×1-exp_binary64 associate-*r/_binary64 rec-exp_binary64
4×pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 unswap-sqr_binary64 flip-+_binary64
3×associate-/l/_binary64 flip3--_binary64 div-sub_binary64 flip--_binary64
2×clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×frac-times_binary64 associate-*l/_binary64
Counts
4 → 222
Calls
4 calls:
6.0ms
(*.f64 5 (*.f64 v v))
26.0ms
(*.f64 (/.f64 1 t) (/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
8.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
15.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 5 (*.f64 v v))
59.0ms
(*.f64 (/.f64 1 t) (/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))))
11.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
18.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))

simplify65.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051376077

prune272.0ms

Filtered
151 candidates to 234 candidates (-55.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2322234
Fresh224
Picked011
Done000
Total2345239

Merged error: 0b

Counts
239 → 5

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06026
16026

end0.0ms

sample644.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid
1.0ms16×body80nan

Profiling

Loading profile data...