Details

Time bar (total: 21.5s)

sample433.0ms

Algorithm
intervals
Results
240.0ms1807×body80nan
69.0ms393×body80valid

simplify203.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
05417
117417
271017
3494017
4500217

prune5.0ms

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: 29.3b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (* (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))))
9.8b
(pow (/ d l) (/ 1.0 2.0))
14.0b
(pow (/ d h) (/ 1.0 2.0))
16.8b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite45.0ms

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))))
5.0ms
(pow (/ d l) (/ 1.0 2.0))
6.0ms
(pow (/ d h) (/ 1.0 2.0))
12.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series547.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(* (* (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))))
13.0ms
(pow (/ d l) (/ 1.0 2.0))
13.0ms
(pow (/ d h) (/ 1.0 2.0))
239.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify50.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
015192226
150022033

prune551.0ms

Filtered
188 candidates to 109 candidates (42.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New17018188
Fresh000
Picked101
Done000
Total17118189

Merged error: 12.6b

Counts
189 → 18

localize37.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* M D) (* 2.0 d))
6.4b
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 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))))
9.8b
(pow (/ d l) (/ 1.0 2.0))
16.8b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
442×add-exp-log
303×prod-exp
132×pow-exp
93×div-exp
60×pow-to-exp
46×add-cbrt-cube
28×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
16×associate-*r*
13×unpow-prod-down pow-unpow
12×rec-exp 1-exp
9×pow1 cbrt-undiv
4×div-inv add-log-exp
3×associate-*r/ associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l* pow-prod-down *-commutative
1×frac-times flip3-- pow-pow frac-2neg clear-num associate-/r* flip-- associate-/l* sqr-pow
Counts
4 → 220
Calls
4 calls:
5.0ms
(/ (* M D) (* 2.0 d))
19.0ms
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 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))
15.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series547.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
289.0ms
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 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))))
15.0ms
(pow (/ d l) (/ 1.0 2.0))
237.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify66.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
017213548
150023306

prune553.0ms

Filtered
232 candidates to 95 candidates (59.1%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New21814232
Fresh9817
Picked101
Done000
Total22822250

Merged error: 11.4b

Counts
250 → 22

localize43.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))
4.6b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l)))
6.4b
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 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)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))))
9.8b
(pow (/ d l) (/ 1.0 2.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
815×add-exp-log
509×prod-exp
210×div-exp
172×pow-exp
99×add-cbrt-cube
90×times-frac
83×associate-*r*
72×sqrt-prod
69×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
68×pow-to-exp
50×cbrt-unprod
22×cbrt-undiv
14×pow1
13×unpow-prod-down pow-unpow
12×rec-exp 1-exp associate-*l/
6×frac-times associate-*r/
5×pow-prod-down
4×div-inv add-log-exp
3×associate-*l* *-commutative
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- pow-pow flip-- sqr-pow
Counts
4 → 360
Calls
4 calls:
30.0ms
(* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))
17.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l)))
19.0ms
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 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)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))))
6.0ms
(pow (/ d l) (/ 1.0 2.0))

series731.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))
200.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l)))
293.0ms
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 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)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))))
13.0ms
(pow (/ d l) (/ 1.0 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
022686966
150016142

prune913.0ms

Filtered
372 candidates to 123 candidates (66.9%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New3639372
Fresh101121
Picked011
Done000
Total37321394

Merged error: 11.0b

Counts
394 → 21

localize41.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* M D) (* 2.0 d))
4.3b
(* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))
4.6b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l)))
6.4b
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 h) (/ 1.0 2.0))) (* (pow d (/ 1.0 2.0)) (pow (/ 1 l) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
2087×add-exp-log
1695×prod-exp
744×pow-exp
398×div-exp
354×pow-to-exp
120×add-cbrt-cube
114×rec-exp 1-exp
83×associate-*r*
73×times-frac
72×sqrt-prod
61×cbrt-unprod
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×cbrt-undiv
16×pow1
12×associate-*l/
7×pow-prod-down
6×frac-times associate-*r/
4×add-log-exp
3×associate-*l* *-commutative div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- frac-2neg clear-num associate-/r* flip-- associate-/l*
Counts
4 → 631
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
24.0ms
(* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))
17.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l)))
37.0ms
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 h) (/ 1.0 2.0))) (* (pow d (/ 1.0 2.0)) (pow (/ 1 l) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
220.0ms
(* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))
198.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l)))
302.0ms
(* (* (* (pow d (/ 1.0 2.0)) (pow (/ 1 h) (/ 1.0 2.0))) (* (pow d (/ 1.0 2.0)) (pow (/ 1 l) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (sqrt h) (sqrt l))) (/ (sqrt h) (sqrt l)))))

simplify167.0ms

Algorithm
egg-herbie
Counts
643 → 643
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0294615911
1500115080

prune661.0ms

Filtered
643 candidates to 128 candidates (80.1%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New6376643
Fresh31619
Picked101
Done011
Total64123664

Merged error: 10.5b

Counts
664 → 23

regimes1.7s

Accuracy

0% (2.7b remaining)

Error of 12.9b against oracle of 10.3b and baseline of 12.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03929
13929

end0.0ms

sample13.0s

Algorithm
intervals
Results
7.5s57095×body80nan
2.3s12876×body80valid

Profiling

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