Details

Time bar (total: 16.0s)

sample61.0ms

Algorithm
intervals
Results
16.0ms311×body80nan
15.0ms280×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ A (* V l))))
5.2b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))

rewrite76.0ms

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:
36.0ms
(* c0 (sqrt (/ A (* V l))))
27.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
31.0ms
(/ A (* V l))
47.0ms
(sqrt (/ A (* V l)))

simplify3.6s

Counts
81 → 81
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune287.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.8b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.4b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×add-cube-cbrt *-un-lft-identity
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 log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt A)
103.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
53.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
30.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt A)
93.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
60.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
69.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01931812
14991712
218621223
done50001012

prune337.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ (/ A l) V)))
4.8b
(/ (/ A l) V)
16.4b
(sqrt (/ (/ A l) V))

rewrite98.0ms

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:
48.0ms
(* c0 (sqrt (/ (/ A l) V)))
18.0ms
(/ (/ A l) V)
17.0ms
(sqrt (/ (/ A l) V))

series138.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* c0 (sqrt (/ (/ A l) V)))
26.0ms
(/ (/ A l) V)
36.0ms
(sqrt (/ (/ A l) V))

simplify2.5s

Counts
206 → 206
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
03152554
15772362
211862266
329622236
done50002236

prune739.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite7.0ms

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 A)
2.0ms
(cbrt A)

series1.1s

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt V)
302.0ms
(cbrt V)
263.0ms
(cbrt A)
250.0ms
(cbrt A)

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune312.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

regimes667.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01830
12130
done2130

end0.0ms

sample1.8s

Algorithm
intervals
Results
609.0ms8892×body80valid
448.0ms8882×body80nan