Details

Time bar (total: 4.2s)

sample71.0ms

Algorithm
intervals
Results
20.0ms586×body80nan
10.0ms287×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

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: 18.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
5.6b
(/ A (* V l))
14.9b
(sqrt (/ A (* V l)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune135.0ms

Filtered
75 candidates to 55 candidates (26.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New621375
Fresh000
Picked101
Done000
Total631376

Merged error: 4.7b

Counts
76 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (sqrt A) (sqrt (* V l)))
0.7b
(* c0 (/ (sqrt A) (sqrt (* V l))))
12.8b
(sqrt (* V l))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
44×add-sqr-sqrt
42×sqrt-prod
36×add-cube-cbrt *-un-lft-identity
28×associate-*r*
10×add-exp-log add-cbrt-cube
8×pow1
6×associate-/l*
4×associate-/r*
3×associate-*l* add-log-exp unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down prod-exp cbrt-unprod div-inv
1×sqrt-undiv frac-2neg pow1/2 associate-*r/ clear-num *-commutative
Counts
3 → 106
Calls
3 calls:
6.0ms
(/ (sqrt A) (sqrt (* V l)))
14.0ms
(* c0 (/ (sqrt A) (sqrt (* V l))))
2.0ms
(sqrt (* V l))

series33.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (sqrt A) (sqrt (* V l)))
13.0ms
(* c0 (/ (sqrt A) (sqrt (* V l))))
10.0ms
(sqrt (* V l))

simplify47.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0343769
11542729
25001716

prune138.0ms

Filtered
115 candidates to 78 candidates (32.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1105115
Fresh4812
Picked101
Done000
Total11513128

Merged error: 4.7b

Counts
128 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (/ (sqrt A) (sqrt (* V l))))
1.0b
(sqrt (/ (sqrt A) (sqrt (* V l))))
12.8b
(sqrt (* V l))
12.8b
(sqrt (* V l))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-prod
52×times-frac
44×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
12×pow1
6×rem-sqrt-square sqrt-pow1
4×add-exp-log pow1/2 add-cbrt-cube add-log-exp
2×sqrt-div pow-prod-down div-inv
Counts
4 → 104
Calls
4 calls:
7.0ms
(sqrt (/ (sqrt A) (sqrt (* V l))))
7.0ms
(sqrt (/ (sqrt A) (sqrt (* V l))))
2.0ms
(sqrt (* V l))
2.0ms
(sqrt (* V l))

series73.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(sqrt (/ (sqrt A) (sqrt (* V l))))
24.0ms
(sqrt (/ (sqrt A) (sqrt (* V l))))
10.0ms
(sqrt (* V l))
11.0ms
(sqrt (* V l))

simplify106.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
03091026
1839988
23681970
35001946

prune160.0ms

Filtered
116 candidates to 84 candidates (27.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh01212
Picked011
Done000
Total11613129

Merged error: 4.7b

Counts
129 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt A) (sqrt (/ 1 (* V l))))
0.4b
(/ 1 (* V l))
0.7b
(* c0 (* (sqrt A) (sqrt (/ 1 (* V l)))))
12.8b
(sqrt (/ 1 (* V l)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×add-exp-log
21×sqrt-prod
20×pow1
16×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
11×associate-*r*
9×times-frac associate-*l*
8×pow-prod-down
7×prod-exp
6×sqrt-pow1
5×cbrt-unprod
4×pow-flip div-exp add-log-exp unswap-sqr
3×pow1/2 sqrt-div associate-*r/ div-inv associate-/l*
2×cbrt-undiv rec-exp 1-exp *-commutative inv-pow
1×rem-sqrt-square frac-2neg sqrt-unprod clear-num associate-/r*
Counts
4 → 103
Calls
4 calls:
10.0ms
(* (sqrt A) (sqrt (/ 1 (* V l))))
5.0ms
(/ 1 (* V l))
10.0ms
(* c0 (* (sqrt A) (sqrt (/ 1 (* V l)))))
6.0ms
(sqrt (/ 1 (* V l)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (sqrt A) (sqrt (/ 1 (* V l))))
2.0ms
(/ 1 (* V l))
14.0ms
(* c0 (* (sqrt A) (sqrt (/ 1 (* V l)))))
13.0ms
(sqrt (/ 1 (* V l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0329569
11475514
25001501

prune99.0ms

Filtered
115 candidates to 64 candidates (44.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh11011
Picked101
Done011
Total11612128

Merged error: 4.7b

Counts
128 → 12

regimes1.0s

Accuracy

60.5% (2.5b remaining)

Error of 8.1b against oracle of 5.6b and baseline of 11.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02711
12711

end0.0ms

sample2.0s

Algorithm
intervals
Results
657.0ms18285×body80nan
327.0ms8909×body80valid

Profiling

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