Details

Time bar (total: 4.5s)

sample33.0ms

Algorithm
intervals
Results
8.0ms287×body80valid
7.0ms294×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

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: 19.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
6.3b
(/ A (* V l))
15.1b
(sqrt (/ A (* V l)))

rewrite21.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
11.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune205.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New641781
Fresh000
Picked101
Done000
Total651782

Merged error: 6.3b

Counts
82 → 17

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.1b
(* (/ 1 V) (/ A l))
15.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×expm1-log1p-u frac-times pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 98
Calls
3 calls:
9.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
14.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms
(* (/ 1 V) (/ A l))
51.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0424535
11846470
25001444

prune224.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1025107
Fresh7916
Picked101
Done000
Total11014124

Merged error: 4.5b

Counts
124 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
1.2b
(* c0 (sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))))
4.3b
(* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))
15.1b
(sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
65×add-sqr-sqrt
63×times-frac
34×add-cbrt-cube
33×div-exp
31×*-un-lft-identity
28×add-cube-cbrt
27×prod-exp
26×associate-*r*
20×associate-*l*
17×cbrt-undiv
16×cbrt-prod
15×cbrt-unprod
13×unswap-sqr
11×pow1
6×sqrt-div associate-*r/
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/ div-inv
2×sqrt-pow1 sqrt-prod *-commutative
1×pow1/2 pow1/3
Counts
4 → 146
Calls
4 calls:
1.0ms
(cbrt l)
14.0ms
(* c0 (sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))))
20.0ms
(* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))
11.0ms
(sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt l)
85.0ms
(* c0 (sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))))
48.0ms
(* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))
62.0ms
(sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l))))

simplify83.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07681534
136741305
250021190

prune371.0ms

Filtered
158 candidates to 107 candidates (67.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1553158
Fresh11213
Picked011
Done000
Total15616172

Merged error: 3.6b

Counts
172 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
2.0b
(* (/ 1 V) (/ A (cbrt l)))
2.3b
(/ (* c0 (sqrt (* (/ 1 V) (/ A (cbrt l))))) (sqrt (* (cbrt l) (cbrt l))))
12.6b
(sqrt (* (/ 1 V) (/ A (cbrt l))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
31×add-exp-log
30×*-un-lft-identity
27×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
15×cbrt-prod
13×associate-*l*
10×div-exp
9×pow1 prod-exp unswap-sqr
6×cbrt-undiv sqrt-div associate-*r/
5×cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×frac-times associate-*l/ sqrt-prod div-inv associate-/l/
2×rec-exp sqrt-pow1 1-exp pow-prod-down
1×frac-2neg pow1/2 pow1/3 clear-num *-commutative associate-/l*
Counts
4 → 127
Calls
4 calls:
1.0ms
(cbrt l)
17.0ms
(* (/ 1 V) (/ A (cbrt l)))
15.0ms
(/ (* c0 (sqrt (* (/ 1 V) (/ A (cbrt l))))) (sqrt (* (cbrt l) (cbrt l))))
7.0ms
(sqrt (* (/ 1 V) (/ A (cbrt l))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt l)
85.0ms
(* (/ 1 V) (/ A (cbrt l)))
79.0ms
(/ (* c0 (sqrt (* (/ 1 V) (/ A (cbrt l))))) (sqrt (* (cbrt l) (cbrt l))))
108.0ms
(sqrt (* (/ 1 V) (/ A (cbrt l))))

simplify68.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0622982
12758883
25001848

prune382.0ms

Filtered
139 candidates to 106 candidates (76.3%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1327139
Fresh21214
Picked101
Done011
Total13520155

Merged error: 1.7b

Counts
155 → 20

regimes714.0ms

Accuracy

41.6% (6.2b remaining)

Error of 8.6b against oracle of 2.3b and baseline of 13.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05758
15758

end0.0ms

sample921.0ms

Algorithm
intervals
Results
258.0ms8844×body80valid
225.0ms8735×body80nan