Details

Time bar (total: 16.6s)

sample100.0ms

Algorithm
intervals
Results
42.0ms286×body80valid
30.0ms295×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
212
112
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize24.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
6.7b
(/ A (* V l))
13.2b
(sqrt (/ A (* V l)))

rewrite30.0ms

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×associate-*l* insert-posit16 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 → 69
Calls
3 calls:
18.0ms
(* c0 (sqrt (/ A (* V l))))
6.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* c0 (sqrt (/ A (* V l))))
27.0ms
(/ A (* V l))
52.0ms
(sqrt (/ A (* V l)))

simplify815.0ms

Counts
78 → 78
Iterations
IterNodes
32165
2634
1219
0108

prune909.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt A)
1.6b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.3b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.2b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×insert-posit16 add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 *-commutative sqrt-prod div-inv
1×pow1/2 pow1/3
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt A)
52.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
39.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
24.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt A)
89.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
78.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
71.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.9s

Counts
122 → 122
Iterations
IterNodes
37108
21916
1534
0190

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ (/ A l) V)))
4.9b
(/ (/ A l) V)
13.2b
(sqrt (/ (/ A l) V))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×*-un-lft-identity add-cube-cbrt
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-cbrt-cube add-exp-log
6×pow1
4×unswap-sqr
3×cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* insert-posit16 add-log-exp
2×sqrt-div
1×clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod associate-/l/
Counts
3 → 194
Calls
3 calls:
16.0ms
(* c0 (sqrt (/ (/ A l) V)))
7.0ms
(/ (/ A l) V)
4.0ms
(sqrt (/ (/ A l) V))

series157.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* c0 (sqrt (/ (/ A l) V)))
24.0ms
(/ (/ A l) V)
44.0ms
(sqrt (/ (/ A l) V))

simplify1.2s

Counts
203 → 203
Iterations
IterNodes
33248
21200
1577
0313

prune2.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt V)
0.5b
(cbrt V)
0.6b
(cbrt l)
0.6b
(cbrt l)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.1s

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt V)
288.0ms
(cbrt V)
263.0ms
(cbrt l)
254.0ms
(cbrt l)

simplify845.0ms

Counts
60 → 60
Iterations
IterNodes
52598
4881
3373
2172
177
044

prune817.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes641.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
223
123
019

end0.0ms

sample2.4s

Algorithm
intervals
Results
854.0ms8921×body80valid
841.0ms9209×body80nan