Details

Time bar (total: 4.4s)

sample37.0ms

Algorithm
intervals
Results
7.0ms295×body80nan
7.0ms283×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144
done144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (/ A (* V l))))
5.6b
(/ A (* V l))
15.9b
(sqrt (/ A (* V l)))

rewrite41.0ms

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:
22.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify63.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0215345
1819320
23061317
35001317
done5001317

prune200.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.1b
(* (/ 1 V) (/ A l))
15.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite72.0ms

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:
33.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
26.0ms
(* (/ 1 V) (/ A l))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
21.0ms
(* (/ 1 V) (/ A l))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify49.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0424535
11846470
25001444
done5001444

prune245.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (/ (/ A V) l)))
5.3b
(/ (/ A V) l)
15.9b
(sqrt (/ (/ A V) l))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
37.0ms
(* c0 (sqrt (/ (/ A V) l)))
11.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series107.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ (/ A V) l)))
25.0ms
(/ (/ A V) l)
34.0ms
(sqrt (/ (/ A V) l))

simplify52.0ms

Counts
206 → 206
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05841424
120141350
250011314
done50011314

prune594.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.7b
(cbrt l)
0.7b
(cbrt l)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series733.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt V)
179.0ms
(cbrt V)
184.0ms
(cbrt l)
185.0ms
(cbrt l)

simplify51.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune243.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.0b

regimes550.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12415
22415
done2415

end0.0ms

sample1.0s

Algorithm
intervals
Results
223.0ms8957×body80valid
218.0ms9078×body80nan