Details

Time bar (total: 16.1s)

sample46.0ms

Algorithm
intervals
Results
10.0ms282×body80valid
10.0ms283×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize13.0ms

Local error

Found 3 expressions with local error:

1.3b
(* c0 (sqrt (/ A (* V l))))
5.9b
(/ A (* V l))
15.7b
(sqrt (/ A (* V l)))

rewrite77.0ms

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×associate-*l* 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 → 66
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(/ A (* V l))
13.0ms
(sqrt (/ A (* V l)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* c0 (sqrt (/ A (* V l))))
26.0ms
(/ A (* V l))
49.0ms
(sqrt (/ A (* V l)))

simplify2.6s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0103661
1218611
2756563
33464561
done5000561

prune303.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.3b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite187.0ms

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×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 → 106
Calls
4 calls:
1.0ms
(cbrt A)
97.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
58.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
28.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt A)
91.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
52.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
87.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.9s

Counts
118 → 118
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01851720
15511628
234341257
done5000984

prune418.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.3b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
3.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
15.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

rewrite622.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
40×add-cbrt-cube
26×prod-exp cbrt-unprod
17×cbrt-undiv add-sqr-sqrt div-exp
11×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
10×associate-*l*
7×times-frac
6×sqrt-div associate-*r/
4×add-log-exp
3×cbrt-prod frac-times pow-prod-down associate-*l/ unswap-sqr
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt A)
364.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
154.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
98.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

series540.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt A)
96.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
75.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
64.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

simplify1.9s

Counts
111 → 111
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01802663
15612534
232321444
done5000781

prune431.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 3 expressions with local error:

1.3b
(* c0 (sqrt (pow (/ (/ A l) V) 1)))
4.2b
(/ (/ A l) V)
15.7b
(sqrt (pow (/ (/ A l) V) 1))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
140×add-sqr-sqrt
119×add-cube-cbrt *-un-lft-identity
99×sqrt-prod
92×unpow-prod-down
50×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×unswap-sqr
5×pow1 rem-sqrt-square
4×sqr-pow
3×cbrt-undiv div-exp associate-*l* associate-/r* add-log-exp
1×frac-2neg sqrt-pow1 pow1/2 pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 201
Calls
3 calls:
67.0ms
(* c0 (sqrt (pow (/ (/ A l) V) 1)))
17.0ms
(/ (/ A l) V)
48.0ms
(sqrt (pow (/ (/ A l) V) 1))

series153.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* c0 (sqrt (pow (/ (/ A l) V) 1)))
33.0ms
(/ (/ A l) V)
53.0ms
(sqrt (pow (/ (/ A l) V) 1))

simplify1.9s

Counts
210 → 210
Iterations

Useful iterations: done (1.9s)

IterNodesCost
04043006
111132428
245072324
done50012265

prune869.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

regimes737.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01523
11921
done1921

end0.0ms

sample2.6s

Algorithm
intervals
Results
961.0ms8923×body80valid
511.0ms8717×body80nan