Details

Time bar (total: 5.0s)

sample47.0ms

Algorithm
intervals
Results
24.0ms296×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.7b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.3b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
14.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series731.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
64.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
165.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
442.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify83.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05731240
128061065
250011065

prune413.0ms

Filtered
99 candidates to 72 candidates (72.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 3.9b

Counts
100 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* 1.6453555072203998 (* y b))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1.6453555072203998 (* y b))

simplify84.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune71.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New17421
Fresh088
Picked101
Done000
Total181230

Merged error: 3.9b

Counts
30 → 12

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 1.6453555072203998 y) b)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* (* 1.6453555072203998 y) b)

series25.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (* 1.6453555072203998 y) b)

simplify63.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
09872
148657
2239057
3500257

prune73.0ms

Filtered
21 candidates to 12 candidates (57.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New19221
Fresh11011
Picked101
Done000
Total211233

Merged error: 3.9b

Counts
33 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series754.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt b) (cbrt b))
179.0ms
(cbrt b)
180.0ms
(cbrt b)
186.0ms
(cbrt b)

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune203.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh11011
Picked101
Done000
Total851297

Merged error: 3.9b

Counts
97 → 12

regimes681.0ms

Accuracy

93.3% (1.6b remaining)

Error of 5.0b against oracle of 3.4b and baseline of 27.7b

bsearch263.0ms

Steps
ItersRangePoint
7
1586180.185935453
286580995.6386202
278659110.81034225
9
-8.968357711771601e+58
-3.5307013870062156e+53
-2.0445880516237427e+56

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample1.2s

Algorithm
intervals
Results
905.0ms8807×body80valid

Profiling

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