Details

Time bar (total: 16.1s)

sample58.0ms

Algorithm
intervals
Results
19.0ms286×body80nan
19.0ms286×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize32.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
5.0b
(/ A (* V l))
14.1b
(sqrt (/ A (* V l)))

rewrite31.0ms

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:
18.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
24.0ms
(/ A (* V l))
42.0ms
(sqrt (/ A (* V l)))

simplify1.8s

Counts
84 → 84
Iterations
IterNodes
done5007
33034
2714
1230
0114

prune433.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt A)
1.9b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.0b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.1b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite141.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 118
Calls
4 calls:
1.0ms
(cbrt A)
60.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
49.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
29.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt A)
96.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
62.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
95.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.7s

Counts
130 → 130
Iterations
IterNodes
done5000
21919
1548
0198

prune712.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ (/ A l) V)))
4.0b
(/ (/ A l) V)
14.1b
(sqrt (/ (/ A l) V))

rewrite57.0ms

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×expm1-log1p-u cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* insert-posit16 log1p-expm1-u 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 → 200
Calls
3 calls:
28.0ms
(* c0 (sqrt (/ (/ A l) V)))
12.0ms
(/ (/ A l) V)
4.0ms
(sqrt (/ (/ A l) V))

series157.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* c0 (sqrt (/ (/ A l) V)))
27.0ms
(/ (/ A l) V)
55.0ms
(sqrt (/ (/ A l) V))

simplify1.7s

Counts
209 → 209
Iterations
IterNodes
done5000
21514
1598
0319

prune1.2s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.7b
(cbrt A)
0.7b
(cbrt A)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
2.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.5s

Counts
4 → 12
Calls
4 calls:
633.0ms
(cbrt l)
321.0ms
(cbrt l)
286.0ms
(cbrt A)
251.0ms
(cbrt A)

simplify1.7s

Counts
68 → 68
Iterations
IterNodes
done5024
52489
4844
3362
2176
181
048

prune496.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample2.4s

Algorithm
intervals
Results
946.0ms8866×body80valid
852.0ms8621×body80nan