Details

Time bar (total: 8.6s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample158.0ms

Algorithm
intervals
Results
94.0ms104×body1280valid
40.0ms91×body640valid
9.0ms42×body320valid
4.0ms256×pre80true
2.0ms16×body160valid
0.0ms3×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052579

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 63.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
4.8b
(log.f64 (-.f64 1.0 x))
4.8b
(log.f64 (+.f64 1.0 x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
17×add-sqr-sqrt_binary64
16×times-frac_binary64
15×pow1_binary64 add-cube-cbrt_binary64
12×log-pow_binary64
9×log-prod_binary64
7×add-exp-log_binary64
6×log-div_binary64
5×add-cbrt-cube_binary64
4×associate-/r*_binary64 associate-/l*_binary64
3×add-log-exp_binary64
2×flip3--_binary64 rem-log-exp_binary64 div-sub_binary64 flip--_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
3 → 69
Calls
3 calls:
6.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
3.0ms
(log.f64 (-.f64 1.0 x))
3.0ms
(log.f64 (+.f64 1.0 x))

series24.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
4.0ms
(log.f64 (-.f64 1.0 x))
4.0ms
(log.f64 (+.f64 1.0 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049621012
149621012

prune91.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73578
Fresh000
Picked101
Done000
Total74579

Merged error: 60.7b

Counts
79 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
4.8b
(log.f64 (-.f64 1.0 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log_binary64
23×add-cbrt-cube_binary64
20×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
14×times-frac_binary64
10×pow1_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
5×associate-*r*_binary64 log-prod_binary64 cbrt-undiv_binary64 log-pow_binary64 div-exp_binary64
4×associate-/r/_binary64 associate-/l*_binary64 log-div_binary64
3×associate-/r*_binary64 add-log-exp_binary64 flip3--_binary64 associate-*r/_binary64 associate-*l*_binary64 flip--_binary64
2×unswap-sqr_binary64 div-sub_binary64 div-inv_binary64 frac-sub_binary64
1×pow-prod-down_binary64 flip3-+_binary64 rem-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip-+_binary64 *-commutative_binary64
Counts
3 → 83
Calls
3 calls:
9.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
13.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
4.0ms
(log.f64 (-.f64 1.0 x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
12.0ms
(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
3.0ms
(log.f64 (-.f64 1.0 x))

simplify35.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052271790

prune117.0ms

Filtered
64 candidates to 92 candidates (-43.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh224
Picked101
Done000
Total94397

Merged error: 0.0b

Counts
97 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log_binary64 add-cbrt-cube_binary64
32×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
22×times-frac_binary64
18×cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
11×pow1_binary64
10×associate-*r*_binary64
9×cbrt-undiv_binary64 div-exp_binary64
8×distribute-lft-out--_binary64
6×associate-*l*_binary64 associate-/l*_binary64
4×associate-*r/_binary64 log-pow_binary64 associate-/r/_binary64 unswap-sqr_binary64 difference-of-squares_binary64
3×associate-/r*_binary64 add-log-exp_binary64 div-inv_binary64
2×pow-prod-down_binary64 associate-/l/_binary64 flip3--_binary64 flip--_binary64 frac-sub_binary64 *-commutative_binary64
1×flip3-+_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
Counts
3 → 106
Calls
3 calls:
9.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
9.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
16.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
9.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049802782
149802782

prune168.0ms

Filtered
72 candidates to 115 candidates (-59.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh022
Picked011
Done000
Total1144118

Merged error: 0b

Counts
118 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
0.0b
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
0.0b
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
0.0b
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity_binary64
66×add-sqr-sqrt_binary64
56×times-frac_binary64
39×add-cube-cbrt_binary64
28×add-exp-log_binary64 add-cbrt-cube_binary64
24×distribute-lft-out--_binary64
18×pow1_binary64 associate-/l*_binary64
12×log-pow_binary64 associate-/r/_binary64 difference-of-squares_binary64
9×associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64
7×cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64
6×associate-/l/_binary64 flip3--_binary64 flip--_binary64 frac-sub_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 div-inv_binary64
3×flip3-+_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 *-commutative_binary64
Counts
4 → 168
Calls
4 calls:
12.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
15.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
15.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
16.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))
9.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
9.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))
9.0ms
(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
049926960
149926960

prune1.2s

Filtered
123 candidates to 180 candidates (-46.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1800180
Fresh022
Picked011
Done011
Total1804184

Merged error: 0b

Counts
184 → 4

regimes33.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
091104
191104

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3384×body1280valid
1.1s2538×body640valid
288.0ms1266×body320valid
136.0ms8000×pre80true
83.0ms598×body160valid
12.0ms214×body80valid

Profiling

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