Details

Time bar (total: 3.2s)

analyze225.0ms

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%99.9%0.1%4
0%99.9%0.1%5
15.6%84.3%0.1%6
37.5%62.4%0.1%7
46.8%53.1%0.1%8
57.8%39.8%2.4%9
64.6%30.4%5%10
71.8%20.3%7.9%11
74.1%16.2%9.7%12
77.4%10.7%12%13
78.6%8.4%13%14

sample24.0ms

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms11×body128invalid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0500529

prune4.0ms

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: 14.2b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

1.1b
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
2.6b
(-.f64 (*.f64 b b) (*.f64 a a))
10.3b
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
206×times-frac_binary64
130×add-sqr-sqrt_binary64
113×*-un-lft-identity_binary64
97×add-cube-cbrt_binary64
58×associate-*l*_binary64
37×difference-of-squares_binary64
19×associate-*r*_binary64
17×add-exp-log_binary64 add-cbrt-cube_binary64
15×div-inv_binary64
13×associate-/l*_binary64
7×distribute-lft-out--_binary64
6×cbrt-undiv_binary64 div-exp_binary64
5×add-log-exp_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
4×associate-/r*_binary64 associate-/r/_binary64
3×sub-neg_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 frac-times_binary64
2×frac-sub_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 202
Calls
3 calls:
9.0ms
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
4.0ms
(-.f64 (*.f64 b b) (*.f64 a a))
49.0ms
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
49.0ms
(-.f64 (*.f64 b b) (*.f64 a a))
103.0ms
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051266154

prune265.0ms

Filtered
176 candidates to 211 candidates (-19.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New20110211
Fresh101
Picked101
Done000
Total20310213

Merged error: 0.0b

Counts
213 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (*.f64 a b))
0.3b
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac_binary64
79×*-un-lft-identity_binary64
51×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
39×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-undiv_binary64 div-exp_binary64
14×distribute-lft-out_binary64 associate-/l*_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
7×div-inv_binary64
5×associate-/r*_binary64
2×associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
1×flip3-+_binary64 flip-+_binary64 associate-*l/_binary64
Counts
2 → 116
Calls
2 calls:
15.0ms
(/.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (*.f64 a b))
9.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))

series149.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (*.f64 a b))
63.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051202501

prune92.0ms

Filtered
78 candidates to 122 candidates (-56.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1184122
Fresh459
Picked101
Done000
Total1239132

Merged error: 0b

Counts
132 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 b a) (/.f64 PI.f64 2))) 1) (*.f64 a b))
0.2b
(/.f64 (+.f64 b a) (/.f64 PI.f64 2))
0.3b
(/.f64 1 (/.f64 (+.f64 b a) (/.f64 PI.f64 2)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
621×times-frac_binary64
410×*-un-lft-identity_binary64
278×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
95×add-exp-log_binary64
71×associate-/r*_binary64
66×distribute-lft-out_binary64
62×add-cbrt-cube_binary64
46×div-exp_binary64
31×cbrt-undiv_binary64
28×div-inv_binary64
22×prod-exp_binary64
13×cbrt-unprod_binary64
9×rec-exp_binary64
8×associate-/l*_binary64
6×associate-/r/_binary64
4×pow1_binary64
3×associate-/l/_binary64 add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
1×flip3-+_binary64 inv-pow_binary64 pow-flip_binary64 flip-+_binary64 associate-*l/_binary64
Counts
3 → 379
Calls
3 calls:
28.0ms
(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 b a) (/.f64 PI.f64 2))) 1) (*.f64 a b))
9.0ms
(/.f64 (+.f64 b a) (/.f64 PI.f64 2))
20.0ms
(/.f64 1 (/.f64 (+.f64 b a) (/.f64 PI.f64 2)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 b a) (/.f64 PI.f64 2))) 1) (*.f64 a b))
66.0ms
(/.f64 (+.f64 b a) (/.f64 PI.f64 2))
58.0ms
(/.f64 1 (/.f64 (+.f64 b a) (/.f64 PI.f64 2)))

simplify166.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049699510
149699510

prune251.0ms

Filtered
206 candidates to 388 candidates (-88.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3871388
Fresh178
Picked011
Done000
Total3889397

Merged error: 0b

Counts
397 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (/.f64 1 (*.f64 b a)))
0.3b
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))
0.5b
(/.f64 1 (*.f64 b a))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac_binary64
102×add-exp-log_binary64
84×*-un-lft-identity_binary64
67×add-cbrt-cube_binary64
56×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
45×prod-exp_binary64
28×div-exp_binary64
26×cbrt-unprod_binary64
22×cbrt-undiv_binary64
16×associate-/l*_binary64
14×distribute-lft-out_binary64
11×pow1_binary64
10×rec-exp_binary64
8×div-inv_binary64
7×associate-*r*_binary64
5×associate-/r*_binary64
4×pow-prod-down_binary64
3×add-log-exp_binary64 associate-*l/_binary64
2×associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 pow-flip_binary64
1×flip3-+_binary64 associate-/l/_binary64 associate-*r/_binary64 associate-*l*_binary64 inv-pow_binary64 un-div-inv_binary64 flip-+_binary64 frac-times_binary64 *-commutative_binary64
Counts
3 → 166
Calls
3 calls:
19.0ms
(*.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (/.f64 1 (*.f64 b a)))
9.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))
5.0ms
(/.f64 1 (*.f64 b a))

series174.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(*.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (/.f64 1 (*.f64 b a)))
66.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))
23.0ms
(/.f64 1 (*.f64 b a))

simplify111.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049663148
149663148

prune100.0ms

Filtered
97 candidates to 175 candidates (-80.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1741175
Fresh167
Picked011
Done011
Total1759184

Merged error: 0b

Counts
184 → 9

regimes41.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11217

end0.0ms

sample616.0ms

Algorithm
intervals
Results
448.0ms8000×body128valid
21.0ms354×body128invalid

Profiling

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