Details

Time bar (total: 3.9s)

analyze112.0ms

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

sample28.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0498740
1498740

prune4.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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
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
7×flip3--_binary64 flip--_binary64
6×flip3-+_binary64 flip-+_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:
6.0ms
(*.f64 5 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
16.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
13.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

series284.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(*.f64 5 (*.f64 v v))
15.0ms
(*.f64 PI.f64 t)
132.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v)))))
116.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 -6 v)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))

simplify100.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050163578

prune169.0ms

Filtered
84 candidates to 121 candidates (-44.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1156121
Fresh000
Picked101
Done000
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 v v) 5)
0.3b
(*.f64 PI.f64 t)
0.5b
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 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 v (*.f64 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
4×pow-prod-down_binary64 add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
3×flip3-+_binary64 associate-/l/_binary64 div-sub_binary64 flip-+_binary64
2×flip3--_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 156
Calls
4 calls:
6.0ms
(*.f64 (*.f64 v v) 5)
4.0ms
(*.f64 PI.f64 t)
17.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.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 v (*.f64 v -6)))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(*.f64 (*.f64 v v) 5)
15.0ms
(*.f64 PI.f64 t)
150.0ms
(/.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
61.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))

simplify142.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049326108
149326108

prune230.0ms

Filtered
113 candidates to 168 candidates (-48.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1653168
Fresh325
Picked011
Done000
Total1686174

Merged error: 0.0b

Counts
174 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 5 (*.f64 v v))
0.3b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
0.5b
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (pow.f64 v 4))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log_binary64 add-cbrt-cube_binary64
39×times-frac_binary64
30×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64 add-cube-cbrt_binary64
20×pow1_binary64
16×cbrt-unprod_binary64 prod-exp_binary64
12×associate-*l*_binary64
10×pow-prod-down_binary64
9×associate-/r*_binary64 cbrt-undiv_binary64 associate-/r/_binary64 div-exp_binary64
8×associate-*r/_binary64
7×flip3-+_binary64 flip-+_binary64
6×sqrt-div_binary64
5×associate-*r*_binary64 div-inv_binary64
4×add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64 frac-times_binary64
3×associate-/l*_binary64 sqrt-prod_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 associate-*l/_binary64
1×div-sub_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 136
Calls
4 calls:
5.0ms
(*.f64 5 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
24.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
15.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (pow.f64 v 4))))

series304.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(*.f64 5 (*.f64 v v))
13.0ms
(*.f64 PI.f64 t)
166.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
107.0ms
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))) (*.f64 (*.f64 PI.f64 t) (-.f64 1 (pow.f64 v 4))))

simplify102.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049776066
149776066

prune244.0ms

Filtered
103 candidates to 148 candidates (-43.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1471148
Fresh044
Picked011
Done011
Total1477154

Merged error: 0b

Counts
154 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
92×sqrt-prod_binary64
76×times-frac_binary64
70×add-sqr-sqrt_binary64
60×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×associate-/r*_binary64
10×sqrt-div_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
6×pow1_binary64 rem-sqrt-square_binary64 associate-/l*_binary64
4×flip3-+_binary64 associate-/l/_binary64 add-log-exp_binary64 div-inv_binary64 flip-+_binary64
2×pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64
Counts
4 → 162
Calls
4 calls:
8.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
8.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
8.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
8.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
56.0ms
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6)))))
111.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))
112.0ms
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (sqrt.f64 (+.f64 2 (*.f64 v (*.f64 v -6))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050397144

prune391.0ms

Filtered
126 candidates to 174 candidates (-38.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1731174
Fresh314
Picked011
Done022
Total1765181

Merged error: 0b

Counts
181 → 5

regimes49.0ms

Accuracy

0% (0.4b 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
06340
16340

end0.0ms

sample688.0ms

Algorithm
intervals
Results
546.0ms8000×body80valid
1.0ms13×body80nan

Profiling

Loading profile data...