Details

Time bar (total: 18.9s)

sample63.0ms

Algorithm
intervals
Results
21.0ms295×body80nan
21.0ms286×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
212
112
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize30.0ms

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)))

rewrite32.0ms

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)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ A (* V l))))
24.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify964.0ms

Counts
84 → 84
Iterations
IterNodes
32339
2668
1225
0114

prune965.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.4b

localize33.0ms

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)))

rewrite127.0ms

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)
64.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
31.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
27.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
307.0ms
(cbrt A)
88.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
66.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
92.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.6s

Counts
130 → 130
Iterations
IterNodes
37011
21883
1542
0198

prune1.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.1b

localize26.0ms

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))

rewrite40.0ms

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:
14.0ms
(* c0 (sqrt (/ (/ A l) V)))
8.0ms
(/ (/ A l) V)
13.0ms
(sqrt (/ (/ A l) V))

series172.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* c0 (sqrt (/ (/ A l) V)))
43.0ms
(/ (/ A l) V)
48.0ms
(sqrt (/ (/ A l) V))

simplify1.4s

Counts
209 → 209
Iterations
IterNodes
33266
21204
1583
0319

prune3.0s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

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×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 V)
1.0ms
(cbrt V)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.2s

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt V)
303.0ms
(cbrt V)
306.0ms
(cbrt l)
285.0ms
(cbrt l)

simplify928.0ms

Counts
68 → 68
Iterations
IterNodes
52584
4869
3378
2176
181
048

prune1.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

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

sample2.6s

Algorithm
intervals
Results
987.0ms9209×body80nan
907.0ms8921×body80valid