Details

Time bar (total: 3.8s)

sample42.0ms

Algorithm
intervals
Results
9.0ms278×body80valid
8.0ms241×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0148
1148

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.7b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
3.4b
(/ A (* V l))
18.9b
(sqrt (/ A (* V l)))

rewrite18.0ms

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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify57.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05394561

prune143.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New601575
Fresh000
Picked101
Done000
Total611576

Merged error: 7.8b

Counts
76 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A))))))
2.2b
(/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A))))
2.9b
(* V (/ l (cbrt A)))
18.9b
(sqrt (/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
32×add-exp-log
31×associate-*r*
23×times-frac add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
10×cbrt-prod prod-exp cbrt-unprod
9×pow1 cbrt-undiv div-exp
6×associate-*l*
5×associate-*r/ unswap-sqr
4×div-inv add-log-exp
3×associate-/r/
2×sqrt-div pow-prod-down *-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* associate-/l*
Counts
4 → 111
Calls
4 calls:
13.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A))))))
11.0ms
(/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A))))
9.0ms
(* V (/ l (cbrt A)))
11.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A)))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A))))))
9.0ms
(/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A))))
19.0ms
(* V (/ l (cbrt A)))
13.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (* V (/ l (cbrt A)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04963948
14963948

prune166.0ms

Filtered
81 candidates to 123 candidates (-51.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1167123
Fresh41014
Picked101
Done000
Total12117138

Merged error: 3.9b

Counts
138 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.6b
(/ (cbrt A) (* V l))
1.7b
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
14.6b
(sqrt (/ (cbrt A) (* V l)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×cbrt-prod times-frac add-cbrt-cube
10×pow1 sqrt-prod
6×associate-/l*
4×prod-exp cbrt-unprod add-log-exp
3×associate-*l* pow-prod-down
2×cbrt-undiv sqrt-div associate-*r/ div-exp div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow1/3 associate-*r* clear-num associate-/r* *-commutative
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt A)
5.0ms
(/ (cbrt A) (* V l))
9.0ms
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
4.0ms
(sqrt (/ (cbrt A) (* V l)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt A)
18.0ms
(/ (cbrt A) (* V l))
44.0ms
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
25.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify29.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05161737

prune163.0ms

Filtered
66 candidates to 90 candidates (-36.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New85590
Fresh21416
Picked101
Done000
Total8819107

Merged error: 3.4b

Counts
107 → 19

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (cbrt A) (* V l))
1.7b
(* c0 (* (fabs (cbrt A)) (* (sqrt (sqrt (/ (cbrt A) (* V l)))) (sqrt (sqrt (/ (cbrt A) (* V l)))))))
14.6b
(sqrt (/ (cbrt A) (* V l)))
14.6b
(sqrt (/ (cbrt A) (* V l)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×sqrt-prod
18×add-exp-log times-frac
17×add-sqr-sqrt
16×add-cbrt-cube
15×pow1 add-cube-cbrt *-un-lft-identity
12×cbrt-prod
10×sqrt-div
7×associate-*r/ prod-exp cbrt-unprod
6×pow-prod-down associate-/l*
4×add-log-exp
3×associate-*l* div-inv
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×frac-times frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 93
Calls
4 calls:
6.0ms
(/ (cbrt A) (* V l))
22.0ms
(* c0 (* (fabs (cbrt A)) (* (sqrt (sqrt (/ (cbrt A) (* V l)))) (sqrt (sqrt (/ (cbrt A) (* V l)))))))
5.0ms
(sqrt (/ (cbrt A) (* V l)))
6.0ms
(sqrt (/ (cbrt A) (* V l)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (cbrt A) (* V l))
42.0ms
(* c0 (* (fabs (cbrt A)) (* (sqrt (sqrt (/ (cbrt A) (* V l)))) (sqrt (sqrt (/ (cbrt A) (* V l)))))))
25.0ms
(sqrt (/ (cbrt A) (* V l)))
29.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify71.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04915968
14915968

prune99.0ms

Filtered
76 candidates to 105 candidates (-38.2%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh01818
Picked011
Done000
Total10519124

Merged error: 3.4b

Counts
124 → 19

regimes1.1s

Accuracy

42.4% (6.0b remaining)

Error of 9.3b against oracle of 3.3b and baseline of 13.7b

bsearch43.0ms

Steps
ItersRangePoint
9
-1.1648282223373432e-305
2.2730172411610174e-305
5.79848079794336e-309

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03143
13143

end0.0ms

sample1.3s

Algorithm
intervals
Results
304.0ms8902×body80valid
295.0ms8986×body80nan

Profiling

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