Details

Time bar (total: 26.9s)

sample96.0ms

Algorithm
intervals
Results
33.0ms302×body80nan
22.0ms278×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize28.0ms

Local error

Found 3 expressions with local error:

1.3b
(* c0 (sqrt (/ A (* V l))))
3.4b
(/ A (* V l))
17.2b
(sqrt (/ A (* V l)))

rewrite83.0ms

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
times-frac
pow1
associate-*l* div-inv associate-/l* add-log-exp
cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
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))))
16.0ms
(/ A (* V l))
14.0ms
(sqrt (/ A (* V l)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(* c0 (sqrt (/ A (* V l))))
40.0ms
(/ A (* V l))
74.0ms
(sqrt (/ A (* V l)))

simplify4.7s

Counts
75 → 75
Iterations
IterNodes
done5000
31992
2601
1218
0103

prune748.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* V l))
1.3b
(* c0 (sqrt (* A (/ 1 (* V l)))))
3.7b
(* A (/ 1 (* V l)))
17.2b
(sqrt (* A (/ 1 (* V l))))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
14×pow1 prod-exp
11×add-cube-cbrt *-un-lft-identity associate-*r*
div-exp
times-frac associate-*l* cbrt-unprod
associate-*r/
cbrt-undiv rec-exp sqrt-div 1-exp pow-prod-down add-log-exp
un-div-inv associate-/l*
pow-flip sqrt-pow1 sqrt-prod *-commutative div-inv unswap-sqr
frac-2neg pow1/2 clear-num associate-/r* inv-pow
Counts
4 → 94
Calls
4 calls:
25.0ms
(/ 1 (* V l))
134.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
67.0ms
(* A (/ 1 (* V l)))
40.0ms
(sqrt (* A (/ 1 (* V l))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (* V l))
78.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
41.0ms
(* A (/ 1 (* V l)))
65.0ms
(sqrt (* A (/ 1 (* V l))))

simplify5.7s

Counts
106 → 106
Iterations
IterNodes
done5000
34686
2924
1306
0125

prune776.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.7b

localize71.0ms

Local error

Found 4 expressions with local error:

7.7b
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
19.0b
(cbrt (/ A (* V l)))
19.0b
(cbrt (/ A (* V l)))
19.0b
(cbrt (/ A (* V l)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sqrt-pow1 times-frac pow1/3
cbrt-div
add-exp-log add-cbrt-cube add-log-exp
sqrt-div div-inv
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times rem-sqrt-square pow-plus pow1/2 associate-*r/ associate-*l/ sqrt-prod
Counts
4 → 70
Calls
4 calls:
25.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
9.0ms
(cbrt (/ A (* V l)))
9.0ms
(cbrt (/ A (* V l)))
9.0ms
(cbrt (/ A (* V l)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
153.0ms
(cbrt (/ A (* V l)))
153.0ms
(cbrt (/ A (* V l)))
159.0ms
(cbrt (/ A (* V l)))

simplify2.8s

Counts
82 → 82
Iterations
IterNodes
done5000
42771
3753
2250
1150
094

prune995.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 7.7b

localize104.0ms

Local error

Found 4 expressions with local error:

7.7b
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
13.1b
(cbrt (/ 1 (* V l)))
19.0b
(cbrt (/ A (* V l)))
19.0b
(cbrt (/ A (* V l)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sqrt-pow1 times-frac pow1/3
cbrt-div
add-exp-log add-cbrt-cube add-log-exp
sqrt-div div-inv
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times rem-sqrt-square pow-plus pow1/2 associate-*r/ associate-*l/ sqrt-prod
Counts
4 → 70
Calls
4 calls:
18.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
13.0ms
(cbrt (/ 1 (* V l)))
9.0ms
(cbrt (/ A (* V l)))
10.0ms
(cbrt (/ A (* V l)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
134.0ms
(cbrt (/ 1 (* V l)))
164.0ms
(cbrt (/ A (* V l)))
163.0ms
(cbrt (/ A (* V l)))

simplify3.8s

Counts
82 → 82
Iterations
IterNodes
done5001
44652
31689
2492
1206
0123

prune924.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 4.4b

regimes1.6s

Accuracy

33.8% (5.5b remaining)

Error of 9.8b against oracle of 4.3b and baseline of 12.6b

bsearch2.0ms

simplify14.0ms

Iterations
IterNodes
done45
145
036

end0.0ms

sample2.2s

Algorithm
intervals
Results
600.0ms8904×body80nan
596.0ms8888×body80valid