Details

Time bar (total: 2.6s)

analyze258.0ms

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

sample38.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
1.0ms15×body80invalid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
0500629

prune8.0ms

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: 14.1b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 a) (/.f64 1 b))
0.5b
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
3.9b
(-.f64 (*.f64 b b) (*.f64 a a))
9.3b
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac_binary64
157×add-sqr-sqrt_binary64
132×*-un-lft-identity_binary64
100×add-cube-cbrt_binary64
58×associate-*l*_binary64
46×difference-of-squares_binary64
19×associate-*r*_binary64 div-inv_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
14×distribute-lft-out--_binary64
13×associate-/l*_binary64
8×add-log-exp_binary64
6×pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
4×associate-/r*_binary64 sub-neg_binary64 associate-/r/_binary64
3×cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 frac-sub_binary64 frac-times_binary64
2×diff-log_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 230
Calls
4 calls:
13.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
11.0ms
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
4.0ms
(-.f64 (*.f64 b b) (*.f64 a a))
41.0ms
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
34.0ms
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
22.0ms
(-.f64 (*.f64 b b) (*.f64 a a))
50.0ms
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

simplify95.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051716697

prune276.0ms

Filtered
194 candidates to 242 candidates (-24.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New23210242
Fresh101
Picked101
Done000
Total23410244

Merged error: 0.0b

Counts
244 → 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))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac_binary64
79×*-un-lft-identity_binary64
60×add-exp-log_binary64
51×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
39×add-cbrt-cube_binary64
29×div-exp_binary64
19×prod-exp_binary64
17×cbrt-undiv_binary64
14×distribute-lft-out_binary64 associate-/l*_binary64
10×cbrt-unprod_binary64
7×div-inv_binary64
6×1-exp_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 → 122
Calls
2 calls:
14.0ms
(/.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (*.f64 a b))
8.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))

series74.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (*.f64 a b))
35.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))

simplify74.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051512615

prune92.0ms

Filtered
78 candidates to 128 candidates (-64.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1235128
Fresh729
Picked101
Done000
Total1317138

Merged error: 0b

Counts
138 → 7

localize9.0ms

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))
0.9b
(/.f64 1 (*.f64 b a))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
215×add-exp-log_binary64
115×prod-exp_binary64
103×times-frac_binary64
84×*-un-lft-identity_binary64
77×div-exp_binary64
67×add-cbrt-cube_binary64
56×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
37×1-exp_binary64
26×cbrt-unprod_binary64
22×cbrt-undiv_binary64
16×rec-exp_binary64 associate-/l*_binary64
14×distribute-lft-out_binary64
11×pow1_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 → 197
Calls
3 calls:
20.0ms
(*.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (/.f64 1 (*.f64 b a)))
8.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))
5.0ms
(/.f64 1 (*.f64 b a))

series86.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(*.f64 (*.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 b a)) 1) (/.f64 1 (*.f64 b a)))
34.0ms
(/.f64 (/.f64 PI.f64 2) (+.f64 b a))
11.0ms
(/.f64 1 (*.f64 b a))

simplify129.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
050513715

prune106.0ms

Filtered
97 candidates to 206 candidates (-112.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2033206
Fresh336
Picked011
Done000
Total2067213

Merged error: 0b

Counts
213 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 (/.f64 PI.f64 2) (*.f64 b a)) (+.f64 b a))
0.9b
(/.f64 (/.f64 PI.f64 2) (*.f64 b a))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
209×times-frac_binary64
110×*-un-lft-identity_binary64
74×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
32×add-exp-log_binary64 add-cbrt-cube_binary64
30×associate-/l*_binary64
18×distribute-lft-out_binary64
17×cbrt-undiv_binary64 div-exp_binary64
14×div-inv_binary64
5×associate-/r*_binary64
4×cbrt-unprod_binary64 prod-exp_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
Counts
2 → 158
Calls
2 calls:
13.0ms
(/.f64 (/.f64 (/.f64 PI.f64 2) (*.f64 b a)) (+.f64 b a))
7.0ms
(/.f64 (/.f64 PI.f64 2) (*.f64 b a))

series65.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/.f64 (/.f64 (/.f64 PI.f64 2) (*.f64 b a)) (+.f64 b a))
23.0ms
(/.f64 (/.f64 PI.f64 2) (*.f64 b a))

simplify108.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049693914
149693914

prune99.0ms

Filtered
114 candidates to 164 candidates (-43.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1622164
Fresh235
Picked101
Done011
Total1656171

Merged error: 0b

Counts
171 → 6

regimes26.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01920
11920

end0.0ms

sample627.0ms

Algorithm
intervals
Results
466.0ms8000×body80valid
21.0ms375×body80invalid

Profiling

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