Details

Time bar (total: 2.5s)

analyze245.0ms

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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
030189
130189

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.8b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64
53×*-un-lft-identity_binary64
42×times-frac_binary64
20×difference-of-squares_binary64
15×add-cube-cbrt_binary64
9×distribute-lft-out_binary64
8×associate-/r*_binary64
5×distribute-lft-out--_binary64
4×associate-/l*_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×associate-/l/_binary64 associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
1 → 60
Calls
1 calls:
11.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05242952

prune88.0ms

Filtered
37 candidates to 63 candidates (-70.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New531063
Fresh000
Picked011
Done000
Total531164

Merged error: 6.8b

Counts
64 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (-.f64 1 (/.f64 y z)))
8.3b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt_binary64
64×times-frac_binary64
59×*-un-lft-identity_binary64
30×associate-*r*_binary64
28×add-cube-cbrt_binary64 difference-of-squares_binary64
15×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×associate-/r*_binary64
7×distribute-lft-out--_binary64
5×pow1_binary64
4×associate-/r/_binary64 associate-*l*_binary64 prod-exp_binary64 div-exp_binary64
3×unswap-sqr_binary64 associate-/l*_binary64
2×flip3-+_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 flip--_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 distribute-lft-out_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64 *-commutative_binary64
Counts
2 → 111
Calls
2 calls:
9.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))
19.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))
11.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
055081290

prune110.0ms

Filtered
68 candidates to 117 candidates (-72.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh099
Picked011
Done011
Total11711128

Merged error: 6.8b

Counts
128 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
8.8b
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
316×times-frac_binary64
275×add-sqr-sqrt_binary64
273×*-un-lft-identity_binary64
107×add-cube-cbrt_binary64
84×difference-of-squares_binary64
42×associate-/r*_binary64
41×distribute-lft-out_binary64
21×distribute-lft-out--_binary64
15×add-exp-log_binary64
11×associate-/r/_binary64 associate-/l*_binary64
9×add-cbrt-cube_binary64
8×div-exp_binary64
6×div-inv_binary64
5×flip3-+_binary64 flip-+_binary64
4×cbrt-undiv_binary64
3×pow1_binary64
2×associate-/l/_binary64 add-log-exp_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×flip3--_binary64 div-sub_binary64 inv-pow_binary64 flip--_binary64 pow-flip_binary64
Counts
2 → 237
Calls
2 calls:
16.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
12.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
10.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
055594213

prune167.0ms

Filtered
118 candidates to 243 candidates (-105.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2412243
Fresh268
Picked101
Done022
Total24410254

Merged error: 6.8b

Counts
254 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x y))
0.4b
(/.f64 1 (-.f64 1 (/.f64 y z)))
8.4b
(/.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
1526×times-frac_binary64
989×add-sqr-sqrt_binary64
939×*-un-lft-identity_binary64
501×add-cube-cbrt_binary64
244×difference-of-squares_binary64
105×associate-/r/_binary64
97×distribute-lft-out_binary64
61×distribute-lft-out--_binary64
53×div-inv_binary64
51×add-exp-log_binary64
36×associate-/l*_binary64 div-exp_binary64
32×flip3-+_binary64 flip-+_binary64
30×associate-/r*_binary64
20×flip3--_binary64 flip--_binary64
19×add-cbrt-cube_binary64
10×1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64
5×pow1_binary64
3×add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
2×inv-pow_binary64 pow-flip_binary64
1×associate-/l/_binary64
Counts
3 → 710
Calls
3 calls:
5.0ms
(/.f64 1 (+.f64 x y))
9.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))
31.0ms
(/.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/.f64 1 (+.f64 x y))
5.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))
17.0ms
(/.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

simplify172.0ms

Algorithm
egg-herbie
Counts
719 → 719
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0497715886
1497715886

prune341.0ms

Filtered
241 candidates to 719 candidates (-198.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New7172719
Fresh257
Picked011
Done022
Total71910729

Merged error: 6.8b

Counts
729 → 10

regimes342.0ms

Accuracy

69.4% (0.5b remaining)

Error of 6.2b against oracle of 5.7b and baseline of 7.5b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06055
16055

end0.0ms

sample405.0ms

Algorithm
intervals
Results
238.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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