Details

Time bar (total: 7.1s)

analyze1.6s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0%99.7%0.3%13
0%99.7%0.3%14

sample49.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms156×body80invalid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
0495317
1495317

prune22.0ms

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: 8.0b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x 9.0) y)
0.5b
(-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a)))
3.1b
(/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z)
10.6b
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a))) c)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×times-frac_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
9×pow1_binary64
6×associate-/r*_binary64 add-log-exp_binary64 associate-/l*_binary64
4×associate-/l/_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
2×flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
1×flip3-+_binary64 sub-neg_binary64 diff-log_binary64 associate-*l*_binary64 div-sub_binary64 flip-+_binary64 *-commutative_binary64
Counts
4 → 88
Calls
4 calls:
5.0ms
(*.f64 (*.f64 x 9.0) y)
12.0ms
(-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a)))
9.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z)
12.0ms
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a))) c)

series117.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 (*.f64 x 9.0) y)
43.0ms
(-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a)))
16.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z)
54.0ms
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a))) c)

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049471624
149471624

prune209.0ms

Filtered
75 candidates to 100 candidates (-33.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New8713100
Fresh011
Picked101
Done000
Total8814102

Merged error: 7.6b

Counts
102 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
4.9b
(/.f64 b (*.f64 z c))
5.9b
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
9.6b
(/.f64 (*.f64 x y) (*.f64 z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
13×cbrt-undiv_binary64 div-exp_binary64
12×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×times-frac_binary64
6×pow1_binary64
5×associate-/r*_binary64 associate-*r*_binary64 associate-/l*_binary64
4×add-log-exp_binary64 div-inv_binary64
3×associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 94
Calls
4 calls:
8.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
4.0ms
(/.f64 b (*.f64 z c))
6.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
6.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

series35.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
6.0ms
(/.f64 b (*.f64 z c))
7.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
10.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

simplify60.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05020876

prune182.0ms

Filtered
63 candidates to 106 candidates (-68.3%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh01313
Picked101
Done000
Total10020120

Merged error: 3.4b

Counts
120 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (/.f64 (*.f64 x y) (*.f64 z c)) (sqrt.f64 9.0))
4.9b
(/.f64 b (*.f64 z c))
5.9b
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
9.6b
(/.f64 (*.f64 x y) (*.f64 z c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
15×add-sqr-sqrt_binary64
13×cbrt-undiv_binary64 div-exp_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×times-frac_binary64
6×pow1_binary64 associate-*r*_binary64
5×associate-/r*_binary64 associate-*l*_binary64 associate-/l*_binary64
4×add-log-exp_binary64 div-inv_binary64 sqrt-prod_binary64
3×clear-num_binary64 frac-2neg_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 98
Calls
4 calls:
10.0ms
(*.f64 (/.f64 (*.f64 x y) (*.f64 z c)) (sqrt.f64 9.0))
4.0ms
(/.f64 b (*.f64 z c))
6.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
6.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

series43.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(*.f64 (/.f64 (*.f64 x y) (*.f64 z c)) (sqrt.f64 9.0))
8.0ms
(/.f64 b (*.f64 z c))
7.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
11.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05034962

prune174.0ms

Filtered
62 candidates to 110 candidates (-77.4%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh01919
Picked011
Done000
Total11020130

Merged error: 3.4b

Counts
130 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
4.5b
(*.f64 (/.f64 1 z) (/.f64 b c))
5.9b
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
9.6b
(/.f64 (*.f64 x y) (*.f64 z c))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log_binary64
55×add-cbrt-cube_binary64
41×add-sqr-sqrt_binary64
30×times-frac_binary64
24×*-un-lft-identity_binary64 prod-exp_binary64
22×add-cube-cbrt_binary64
20×cbrt-unprod_binary64
19×div-exp_binary64
18×associate-*r*_binary64
16×associate-*l*_binary64
15×cbrt-undiv_binary64
8×pow1_binary64
7×unswap-sqr_binary64
5×div-inv_binary64
4×associate-/r*_binary64 add-log-exp_binary64
2×pow-prod-down_binary64 1-exp_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64 associate-/l*_binary64 *-commutative_binary64
1×frac-times_binary64 associate-*l/_binary64
Counts
4 → 129
Calls
4 calls:
8.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
10.0ms
(*.f64 (/.f64 1 z) (/.f64 b c))
6.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
6.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

series34.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
6.0ms
(*.f64 (/.f64 1 z) (/.f64 b c))
7.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
10.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

simplify66.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050491156

prune104.0ms

Filtered
85 candidates to 141 candidates (-65.9%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh01818
Picked011
Done011
Total14120161

Merged error: 3.4b

Counts
161 → 20

regimes2.6s

Accuracy

61.4% (3.5b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 12.0b

bsearch2.0ms

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0168195
1168195

end0.0ms

sample1.4s

Algorithm
intervals
Results
498.0ms8000×body80valid
293.0ms4867×body80invalid

Profiling

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