Details

Time bar (total: 14.8s)

sample55.0ms

Algorithm
intervals
Results
11.0ms282×body80valid
11.0ms283×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

localize19.0ms

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)))

rewrite44.0ms

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:
26.0ms
(* c0 (sqrt (/ A (* V l))))
9.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* c0 (sqrt (/ A (* V l))))
27.0ms
(/ A (* V l))
49.0ms
(sqrt (/ A (* V l)))

simplify2.7s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0109705
1222655
2747607
33488605
done5001605

prune238.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

localize19.0ms

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)))

rewrite220.0ms

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)
113.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
58.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
41.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt A)
99.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
64.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
75.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01931812
15591720
232971335
done50001034

prune498.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize35.0ms

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)))

rewrite678.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 107
Calls
4 calls:
1.0ms
(cbrt A)
385.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
139.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
146.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

series479.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt A)
103.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
67.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
72.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

simplify1.8s

Counts
119 → 119
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01882809
15672680
232091542
done5001833

prune469.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.8b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite134.0ms

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:
64.0ms
(* c0 (sqrt (/ (/ A l) V)))
28.0ms
(/ (/ A l) V)
20.0ms
(sqrt (/ (/ A l) V))

series149.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ (/ A l) V)))
22.0ms
(/ (/ A l) V)
57.0ms
(sqrt (/ (/ A l) V))

simplify1.1s

Counts
206 → 206
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03152554
16172362
221022268
done50002236

prune782.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes546.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample2.2s

Algorithm
intervals
Results
755.0ms8923×body80valid
378.0ms8717×body80nan