Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.18914%

Guaranteed chance to sample good point: 99.993888%

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
7.0ms
(* (/ 841.0 108.0) x)

series5.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms
(* (/ 841.0 108.0) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune73.0ms

Filtered
38 candidates to 50 candidates (-31.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 0b

Counts
51 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
0.3b
(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
23×add-cbrt-cube
22×associate-*l*
20×prod-exp
18×times-frac
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×div-exp cbrt-unprod
9×sqrt-prod
7×pow1
6×associate-*l/
5×cbrt-undiv
4×add-log-exp
3×rec-exp 1-exp pow-prod-down frac-add
2×frac-times associate-*r/
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ div-inv
Counts
2 → 68
Calls
2 calls:
13.0ms
(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
13.0ms
(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

series27.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
12.0ms
(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

simplify53.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0419614
12244479
25001367

prune89.0ms

Filtered
42 candidates to 74 candidates (-76.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done011
Total74478

Merged error: 0b

Counts
78 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b
(* (sqrt (/ 841.0 108.0)) x)
0.4b
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*l*
28×sqrt-prod
27×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
10×pow1 add-exp-log add-cbrt-cube
9×sqrt-div
7×associate-*l/
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×frac-add unswap-sqr
2×frac-times associate-*r/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 82
Calls
3 calls:
12.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms
(* (sqrt (/ 841.0 108.0)) x)
11.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
4.0ms
(* (sqrt (/ 841.0 108.0)) x)
9.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify119.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0322573
11080507
24743505
35002505

prune147.0ms

Filtered
68 candidates to 91 candidates (-33.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0b

Counts
95 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
0.3b
(* (* 841.0 x) 29.0)
0.3b
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
1×+-commutative frac-2neg associate-*l* clear-num associate-/r* sum-log *-commutative div-inv
Counts
3 → 52
Calls
3 calls:
4.0ms
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
5.0ms
(* (* 841.0 x) 29.0)
9.0ms
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series10.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
2.0ms
(* (* 841.0 x) 29.0)
5.0ms
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290382
11238324
25001324

prune65.0ms

Filtered
42 candidates to 61 candidates (-45.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done033
Total61465

Merged error: 0b

Counts
65 → 4

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze4.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.18914%

Guaranteed chance to sample good point: 99.993888%

sample309.0ms

Algorithm
intervals
Results
213.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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