Details

Time bar (total: 6.4s)

analyze122.0ms

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

sample34.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0511840

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.4b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
0.4b
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64 add-cbrt-cube_binary64
20×pow1_binary64
16×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
14×add-sqr-sqrt_binary64
13×flip3--_binary64 flip--_binary64
12×associate-*l*_binary64 sqrt-div_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64
8×associate-/r/_binary64 frac-times_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 sub-neg_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-exp_binary64 associate-*l/_binary64
3×associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 109
Calls
4 calls:
5.0ms
(*.f64 5 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)
15.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
13.0ms
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(*.f64 5 (*.f64 v v))
16.0ms
(*.f64 PI.f64 t)
150.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
118.0ms
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

simplify78.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
058193575

prune593.0ms

Filtered
85 candidates to 121 candidates (-42.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1156121
Fresh000
Picked101
Done000
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 v v) 5)
0.2b
(*.f64 PI.f64 t)
0.5b
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac_binary64
51×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64 add-cube-cbrt_binary64
34×add-exp-log_binary64 add-cbrt-cube_binary64
30×sqrt-prod_binary64
27×associate-/l*_binary64
11×pow1_binary64
10×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
8×associate-/r/_binary64
7×associate-/r*_binary64
6×associate-*r*_binary64 sqrt-div_binary64
5×flip3--_binary64 flip--_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
3×associate-/l/_binary64 div-sub_binary64
2×associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 156
Calls
4 calls:
6.0ms
(*.f64 (*.f64 v v) 5)
4.0ms
(*.f64 PI.f64 t)
16.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
9.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(*.f64 (*.f64 v v) 5)
13.0ms
(*.f64 PI.f64 t)
142.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
62.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

simplify97.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
055906113

prune824.0ms

Filtered
114 candidates to 168 candidates (-47.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1644168
Fresh415
Picked011
Done000
Total1686174

Merged error: 0.0b

Counts
174 → 6

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 v v) 5)
0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 (*.f64 1 1) (*.f64 (*.f64 5 (*.f64 v v)) (*.f64 5 (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (+.f64 1 (*.f64 (*.f64 v v) 5))))
0.4b
(*.f64 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log_binary64 add-cbrt-cube_binary64
34×associate-*r/_binary64
32×frac-times_binary64
26×associate-/r/_binary64
25×flip3--_binary64 flip--_binary64
24×sqrt-div_binary64
20×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
16×associate-*l/_binary64
14×add-sqr-sqrt_binary64
12×associate-*r*_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64
9×flip3-+_binary64 flip-+_binary64
5×cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
4×add-log-exp_binary64 associate-/l*_binary64 times-frac_binary64
3×sqrt-prod_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 difference-of-squares_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 127
Calls
4 calls:
6.0ms
(*.f64 (*.f64 v v) 5)
4.0ms
(*.f64 PI.f64 t)
36.0ms
(/.f64 (-.f64 (*.f64 1 1) (*.f64 (*.f64 5 (*.f64 v v)) (*.f64 5 (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (+.f64 1 (*.f64 (*.f64 v v) 5))))
13.0ms
(*.f64 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(*.f64 (*.f64 v v) 5)
16.0ms
(*.f64 PI.f64 t)
171.0ms
(/.f64 (-.f64 (*.f64 1 1) (*.f64 (*.f64 5 (*.f64 v v)) (*.f64 5 (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (+.f64 1 (*.f64 (*.f64 v v) 5))))
133.0ms
(*.f64 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

simplify100.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049845681
149845681

prune789.0ms

Filtered
107 candidates to 139 candidates (-29.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh044
Picked011
Done011
Total1396145

Merged error: 0.0b

Counts
145 → 6

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 1 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (/.f64 1 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
1.0b
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log_binary64
49×add-cbrt-cube_binary64
48×add-sqr-sqrt_binary64
44×times-frac_binary64
38×*-un-lft-identity_binary64 add-cube-cbrt_binary64
33×prod-exp_binary64
27×associate-*l*_binary64
22×sqrt-prod_binary64
18×cbrt-unprod_binary64
17×div-exp_binary64
14×pow1_binary64 cbrt-undiv_binary64
12×associate-*r*_binary64
9×rec-exp_binary64
8×associate-/r/_binary64
7×associate-/r*_binary64
6×associate-/l*_binary64
5×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 flip--_binary64
4×add-log-exp_binary64 unswap-sqr_binary64 div-inv_binary64 sqrt-div_binary64
3×pow-flip_binary64
2×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×div-sub_binary64 inv-pow_binary64 un-div-inv_binary64 frac-times_binary64 associate-*l/_binary64
Counts
4 → 165
Calls
4 calls:
4.0ms
(*.f64 PI.f64 t)
8.0ms
(/.f64 1 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
23.0ms
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (/.f64 1 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
8.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(*.f64 PI.f64 t)
73.0ms
(/.f64 1 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
148.0ms
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))) (/.f64 1 (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
65.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))

simplify93.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049655812
149655812

prune724.0ms

Filtered
109 candidates to 177 candidates (-62.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1752177
Fresh123
Picked101
Done112
Total1785183

Merged error: 0b

Counts
183 → 5

regimes373.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07740
17740

end0.0ms

sample964.0ms

Algorithm
intervals
Results
778.0ms8000×body80valid
1.0ms10×body80nan

Profiling

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