Details

Time bar (total: 16.8s)

sample98.0ms

Algorithm
intervals
Results
34.0ms272×body80nan
32.0ms284×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize14.0ms

Local error

Found 3 expressions with local error:

2.4b
(* c0 (sqrt (/ A (* V l))))
5.4b
(/ A (* V l))
16.5b
(sqrt (/ A (* V l)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* insert-posit16 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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
3 → 75
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ A (* V l))))
12.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
51.0ms
(sqrt (/ A (* V l)))

simplify571.0ms

Counts
84 → 84
Iterations
IterNodes
done2000
2714
1230
0114

prune507.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.5b

localize31.0ms

Local error

Found 3 expressions with local error:

2.4b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.2b
(* (/ 1 V) (/ A l))
16.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite71.0ms

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×add-cbrt-cube associate-*r*
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/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
27.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
27.0ms
(* (/ 1 V) (/ A l))
16.0ms
(sqrt (* (/ 1 V) (/ A l)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
35.0ms
(* (/ 1 V) (/ A l))
84.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify787.0ms

Counts
110 → 110
Iterations
IterNodes
done2001
21336
1441
0171

prune610.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.4b
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))))
2.4b
(/ (/ A (cbrt V)) l)
2.5b
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))
16.5b
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l)))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
284×times-frac
182×add-sqr-sqrt
149×*-un-lft-identity
145×add-cube-cbrt
89×add-exp-log
74×associate-*r*
66×cbrt-prod
37×add-cbrt-cube
36×div-exp
31×prod-exp
22×associate-/l*
18×cbrt-undiv
13×cbrt-unprod unswap-sqr
11×pow1
10×associate-*l* div-inv
6×rec-exp sqrt-div 1-exp associate-*r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×frac-times associate-/r* pow-prod-down associate-*l/
2×sqrt-pow1 *-commutative sqrt-prod
1×clear-num frac-2neg pow1/2 associate-/l/
Counts
4 → 285
Calls
4 calls:
140.0ms
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))))
10.0ms
(/ (/ A (cbrt V)) l)
73.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))
44.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))))
119.0ms
(/ (/ A (cbrt V)) l)
49.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))
110.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l)))

simplify951.0ms

Counts
297 → 297
Iterations
IterNodes
done2000
11277
0428

prune1.9s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
2.4b
(* c0 (/ (sqrt (/ (/ A (cbrt V)) l)) (fabs (cbrt V))))
2.4b
(/ (/ A (cbrt V)) l)
15.1b
(sqrt (/ (/ A (cbrt V)) l))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
852×times-frac
437×add-sqr-sqrt
406×*-un-lft-identity add-cube-cbrt
284×sqrt-prod
223×associate-*r*
149×cbrt-prod
22×div-inv associate-/l*
14×add-exp-log
13×add-cbrt-cube
7×pow1
6×unswap-sqr
4×expm1-log1p-u cbrt-undiv rem-sqrt-square div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l*
2×prod-exp cbrt-unprod
1×clear-num frac-2neg sqrt-pow1 pow1/2 pow1/3 sqrt-div pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
4 → 459
Calls
4 calls:
1.0ms
(cbrt V)
49.0ms
(* c0 (/ (sqrt (/ (/ A (cbrt V)) l)) (fabs (cbrt V))))
19.0ms
(/ (/ A (cbrt V)) l)
10.0ms
(sqrt (/ (/ A (cbrt V)) l))

series912.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt V)
254.0ms
(* c0 (/ (sqrt (/ (/ A (cbrt V)) l)) (fabs (cbrt V))))
141.0ms
(/ (/ A (cbrt V)) l)
233.0ms
(sqrt (/ (/ A (cbrt V)) l))

simplify910.0ms

Counts
471 → 471
Iterations
IterNodes
done2000
0845

prune4.0s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.4b

regimes1.8s

Accuracy

0% (3.1b remaining)

Error of 3.6b against oracle of 0.5b and baseline of 3.6b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done22
122
020

end0.0ms

sample2.4s

Algorithm
intervals
Results
891.0ms9040×body80nan
855.0ms8857×body80valid