Details

Time bar (total: 17.9s)

analyze214.0ms

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
17.0ms256×body80valid
0.0ms6×body80invalid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0506829

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: 16.2b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 a) (/.f64 1 b))
1.3b
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
5.6b
(-.f64 (*.f64 b b) (*.f64 a a))
9.0b
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite98.0ms

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 insert-posit16
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 → 234
Calls
4 calls:
16.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
11.0ms
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
5.0ms
(-.f64 (*.f64 b b) (*.f64 a a))
51.0ms
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

series906.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
57.0ms
(/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a)))
52.0ms
(-.f64 (*.f64 b b) (*.f64 a a))
747.0ms
(*.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0104539
1104539
0104539
1104539
013
113
01919
11919
01919
11919
013
113
02849
12849
02849
12849
013
113
02089
12089
02089
12089
013
113

simplify120.0ms

Counts
246 → 246
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
056306755

prune292.0ms

Filtered
202 candidates to 246 candidates (-21.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2379246
Fresh101
Picked011
Done000
Total23810248

Merged error: 0.1b

Counts
248 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 a) (/.f64 1 b))
0.2b
(*.f64 (/.f64 PI.f64 (+.f64 b a)) (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))))
0.3b
(/.f64 PI.f64 (+.f64 b a))
0.4b
(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt_binary64
87×*-un-lft-identity_binary64
76×times-frac_binary64
37×associate-*l*_binary64
35×add-cube-cbrt_binary64
32×add-exp-log_binary64 add-cbrt-cube_binary64
22×associate-*r*_binary64
21×difference-of-squares_binary64
17×distribute-lft-out--_binary64
16×frac-times_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
11×pow1_binary64 div-inv_binary64
10×associate-*r/_binary64 associate-*l/_binary64
8×flip3--_binary64 flip--_binary64
7×distribute-lft-out_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-sub_binary64
6×add-log-exp_binary64 associate-/r/_binary64
4×pow-prod-down_binary64 associate-/r*_binary64 insert-posit16
3×associate-/l*_binary64
2×flip3-+_binary64 unswap-sqr_binary64 flip-+_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 183
Calls
4 calls:
16.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
35.0ms
(*.f64 (/.f64 PI.f64 (+.f64 b a)) (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))))
6.0ms
(/.f64 PI.f64 (+.f64 b a))
36.0ms
(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a)))

series4.3s

Counts
4 → 12
Calls
4 calls:
49.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
1.7s
(*.f64 (/.f64 PI.f64 (+.f64 b a)) (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))))
588.0ms
(/.f64 PI.f64 (+.f64 b a))
2.0s
(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0206929
1206929
0206929
1206929
013
113
0250899
0250899
013
113
0337199
0337199
013
113
02089
12089
02089
12089
013
113

simplify127.0ms

Counts
195 → 195
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
051014261

prune197.0ms

Filtered
140 candidates to 195 candidates (-39.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1887195
Fresh538
Picked101
Done101
Total19510205

Merged error: 0b

Counts
205 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 a) (/.f64 1 b))
0.1b
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) 1/2) (/.f64 PI.f64 (+.f64 a b))) (-.f64 b a))
0.3b
(/.f64 PI.f64 (+.f64 a b))
0.3b
(*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) 1/2) (/.f64 PI.f64 (+.f64 a b)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity_binary64
53×add-sqr-sqrt_binary64
47×times-frac_binary64
36×add-exp-log_binary64 add-cbrt-cube_binary64
25×add-cube-cbrt_binary64
18×associate-*r*_binary64 associate-*l/_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
11×difference-of-squares_binary64
10×cbrt-undiv_binary64 div-exp_binary64
9×associate-/r*_binary64 pow1_binary64 distribute-lft-out--_binary64
7×associate-/l/_binary64 distribute-lft-out_binary64 div-inv_binary64
6×add-log-exp_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 frac-times_binary64
5×frac-sub_binary64
4×associate-/l*_binary64 insert-posit16
3×pow-prod-down_binary64
2×flip3-+_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×sub-neg_binary64 diff-log_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 149
Calls
4 calls:
16.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
35.0ms
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) 1/2) (/.f64 PI.f64 (+.f64 a b))) (-.f64 b a))
6.0ms
(/.f64 PI.f64 (+.f64 a b))
29.0ms
(*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) 1/2) (/.f64 PI.f64 (+.f64 a b)))

series4.5s

Counts
4 → 12
Calls
4 calls:
48.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
1.8s
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) 1/2) (/.f64 PI.f64 (+.f64 a b))) (-.f64 b a))
589.0ms
(/.f64 PI.f64 (+.f64 a b))
2.1s
(*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) 1/2) (/.f64 PI.f64 (+.f64 a b)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0381199
0381199
013
113
0250899
0250899
013
113
0371459
0371459
013
113
02089
12089
02089
12089
013
113

simplify122.0ms

Counts
161 → 161
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
051593397

prune127.0ms

Filtered
108 candidates to 161 candidates (-49.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1601161
Fresh189
Picked011
Done000
Total16110171

Merged error: 0b

Counts
171 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 a) (/.f64 1 b))
0.1b
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))) PI.f64) (+.f64 b a))
0.3b
(*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))) PI.f64)
0.4b
(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt_binary64
63×*-un-lft-identity_binary64
56×times-frac_binary64
32×add-exp-log_binary64 add-cbrt-cube_binary64
24×associate-*r*_binary64
23×associate-*l/_binary64
21×add-cube-cbrt_binary64 difference-of-squares_binary64
20×associate-*l*_binary64
17×distribute-lft-out--_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
11×pow1_binary64
10×div-inv_binary64
9×frac-times_binary64
8×flip3--_binary64 flip--_binary64
7×associate-/l/_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-sub_binary64
6×add-log-exp_binary64
4×pow-prod-down_binary64 associate-/r*_binary64 associate-/r/_binary64 insert-posit16
3×associate-*r/_binary64
2×distribute-lft-out_binary64 unswap-sqr_binary64 *-commutative_binary64
1×flip3-+_binary64 sub-neg_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 flip-+_binary64
Counts
4 → 157
Calls
4 calls:
19.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
33.0ms
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))) PI.f64) (+.f64 b a))
29.0ms
(*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))) PI.f64)
36.0ms
(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a)))

series5.5s

Counts
4 → 12
Calls
4 calls:
49.0ms
(-.f64 (/.f64 1 a) (/.f64 1 b))
1.9s
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))) PI.f64) (+.f64 b a))
1.7s
(*.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a))) PI.f64)
1.9s
(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 1/2 (-.f64 b a)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0206929
1206929
0206929
1206929
013
113
0197549
1197549
0197549
1197549
013
113
0362139
0362139
013
113
02089
12089
02089
12089
013
113

simplify95.0ms

Counts
169 → 169
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
063223710

prune148.0ms

Filtered
119 candidates to 169 candidates (-42.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1681169
Fresh268
Picked101
Done011
Total1718179

Merged error: 0b

Counts
179 → 8

regimes39.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05029
15029

end0.0ms

sample600.0ms

Algorithm
intervals
Results
439.0ms8000×body80valid
20.0ms372×body80invalid

Profiling

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