Details

Time bar (total: 29.2s)

sample354.0ms

Algorithm
intervals
Results
163.0ms1342×body80nan
65.0ms411×body80valid

simplify197.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05417
117417
271017
3494017
4500217

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.7b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (* (pow (/ d h) (/ 1.0 2.0)) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
10.4b
(pow (/ d h) (/ 1.0 2.0))
11.0b
(pow (/ d l) (/ 1.0 2.0))
14.1b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
205×add-exp-log
107×prod-exp
55×div-exp
45×times-frac
40×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-exp
30×add-cbrt-cube
26×unpow-prod-down pow-unpow
16×associate-*r*
14×pow-to-exp
13×cbrt-unprod
10×pow1
5×cbrt-undiv div-inv
4×add-log-exp
3×associate-*r/ associate-*l/
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in associate-*l* pow-prod-down *-commutative sqr-pow
1×frac-times flip3-- flip--
Counts
4 → 176
Calls
4 calls:
13.0ms
(* (* (pow (/ d h) (/ 1.0 2.0)) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
6.0ms
(pow (/ d h) (/ 1.0 2.0))
5.0ms
(pow (/ d l) (/ 1.0 2.0))
15.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series525.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (* (pow (/ d h) (/ 1.0 2.0)) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
14.0ms
(pow (/ d h) (/ 1.0 2.0))
12.0ms
(pow (/ d l) (/ 1.0 2.0))
228.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify49.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
015192226
150022033

prune2.2s

Filtered
188 candidates to 109 candidates (42.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New16523188
Fresh000
Picked101
Done000
Total16623189

Merged error: 12.4b

Counts
189 → 23

localize43.0ms

Local error

Found 4 expressions with local error:

2.0b
(pow (/ d (cbrt h)) (/ 1.0 2.0))
5.1b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
11.0b
(pow (/ d l) (/ 1.0 2.0))
14.1b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
809×add-exp-log
563×prod-exp
282×pow-exp
184×div-exp
95×pow-to-exp
54×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
35×unpow-prod-down
34×add-cbrt-cube
32×rec-exp 1-exp
26×pow-unpow
16×associate-*r* cbrt-unprod
10×pow1
9×cbrt-prod
5×cbrt-undiv div-inv
4×add-log-exp
3×associate-*r/ associate-*l/
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in associate-*l* pow-prod-down *-commutative sqr-pow
1×frac-times flip3-- flip--
Counts
4 → 318
Calls
4 calls:
7.0ms
(pow (/ d (cbrt h)) (/ 1.0 2.0))
26.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
5.0ms
(pow (/ d l) (/ 1.0 2.0))
12.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series587.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (/ d (cbrt h)) (/ 1.0 2.0))
309.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
13.0ms
(pow (/ d l) (/ 1.0 2.0))
229.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify84.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
021876275
150025872

prune2.7s

Filtered
330 candidates to 120 candidates (63.6%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New3228330
Fresh61622
Picked101
Done000
Total32924353

Merged error: 11.7b

Counts
353 → 24

localize57.0ms

Local error

Found 4 expressions with local error:

2.0b
(pow (/ d (cbrt h)) (/ 1.0 2.0))
2.9b
(pow (/ (cbrt d) l) (/ 1.0 2.0))
5.1b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
14.1b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
6364×add-exp-log
4945×prod-exp
2616×pow-exp
1623×div-exp
790×pow-to-exp
528×1-exp
232×rec-exp
63×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×unpow-prod-down
43×add-cbrt-cube
26×pow-unpow
23×cbrt-unprod
18×cbrt-prod
16×associate-*r*
13×pow1
5×cbrt-undiv div-inv
4×pow-prod-down add-log-exp
3×associate-*r/ associate-*l/
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in associate-*l* *-commutative sqr-pow
1×frac-times flip3-- flip--
Counts
4 → 1255
Calls
4 calls:
7.0ms
(pow (/ d (cbrt h)) (/ 1.0 2.0))
7.0ms
(pow (/ (cbrt d) l) (/ 1.0 2.0))
75.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
12.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series564.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (/ d (cbrt h)) (/ 1.0 2.0))
34.0ms
(pow (/ (cbrt d) l) (/ 1.0 2.0))
273.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
223.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify337.0ms

Algorithm
egg-herbie
Counts
1267 → 1267
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500139987

prune4.5s

Filtered
1267 candidates to 156 candidates (87.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New126071267
Fresh51823
Picked101
Done000
Total1266251291

Merged error: 9.0b

Counts
1291 → 25

localize51.0ms

Local error

Found 4 expressions with local error:

2.9b
(pow (/ (cbrt d) l) (/ 1.0 2.0))
5.1b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
5.2b
(* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h)
6.9b
(/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
6335×add-exp-log
4937×prod-exp
2609×pow-exp
1607×div-exp
788×pow-to-exp
528×1-exp
232×rec-exp
48×add-cbrt-cube
28×add-sqr-sqrt *-un-lft-identity times-frac
26×add-cube-cbrt
25×cbrt-unprod
22×unpow-prod-down
13×pow-unpow
12×pow1
9×cbrt-prod
8×associate-*r*
6×cbrt-undiv
4×pow-prod-down add-log-exp
3×div-inv
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l* *-commutative
1×flip3-- pow-pow frac-2neg clear-num associate-/r* flip-- associate-/l* distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 1208
Calls
4 calls:
7.0ms
(pow (/ (cbrt d) l) (/ 1.0 2.0))
76.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
7.0ms
(* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h)
12.0ms
(/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))

series753.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (/ (cbrt d) l) (/ 1.0 2.0))
271.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
212.0ms
(* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h)
234.0ms
(/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))

simplify333.0ms

Algorithm
egg-herbie
Counts
1220 → 1220
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0500139600

prune2.6s

Filtered
1220 candidates to 121 candidates (90.1%)
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New121191220
Fresh42024
Picked101
Done000
Total1216291245

Merged error: 8.7b

Counts
1245 → 29

regimes2.4s

Accuracy

18.6% (4.1b remaining)

Error of 14.5b against oracle of 10.4b and baseline of 15.4b

bsearch6.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104154
1104154

end0.0ms

sample10.1s

Algorithm
intervals
Results
4.9s38918×body80nan
2.1s12782×body80valid

Profiling

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