Details

Time bar (total: 24.9s)

sample88.0ms

Algorithm
intervals
Results
34.0ms290×body80valid
28.0ms305×body80nan

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize12.0ms

Local error

Found 3 expressions with local error:

13.4b
(sqrt (/ A (* V l)))
5.1b
(/ A (* V l))
1.7b
(* c0 (sqrt (/ A (* V l))))

rewrite37.0ms

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:
Slowest
17.0ms
(* c0 (sqrt (/ A (* V l))))
15.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
60.0ms
(* c0 (sqrt (/ A (* V l))))
34.0ms
(sqrt (/ A (* V l)))
28.0ms
(/ A (* V l))

simplify1.2s

Counts
51 → 84
Calls
51 calls:
Slowest
273.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
166.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
129.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
38.0ms
(- (log A) (log (* V l)))
37.0ms
(* (sqrt c0) (sqrt (sqrt (/ A (* V l)))))

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 3 expressions with local error:

13.4b
(sqrt (/ (/ A V) l))
5.4b
(/ (/ A V) l)
1.7b
(* c0 (sqrt (/ (/ A V) l)))

rewrite58.0ms

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:
Slowest
26.0ms
(* c0 (sqrt (/ (/ A V) l)))
20.0ms
(/ (/ A V) l)
4.0ms
(sqrt (/ (/ A V) l))

series133.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(* c0 (sqrt (/ (/ A V) l)))
36.0ms
(sqrt (/ (/ A V) l))
33.0ms
(/ (/ A V) l)

simplify7.3s

Counts
212 → 209
Calls
212 calls:
Slowest
602.0ms
(/ (/ (* (* A A) A) (* (* V V) V)) (* (* l l) l))
409.0ms
(/ (* (* (/ A V) (/ A V)) (/ A V)) (* (* l l) l))
355.0ms
(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l))))
349.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l)))
247.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ (/ A V) l)) (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l))))

prune2.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.5b

localize64.0ms

Local error

Found 4 expressions with local error:

1.7b
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))
0.6b
(cbrt A)
0.6b
(cbrt A)
0.6b
(cbrt V)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×sqrt-div associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
Slowest
36.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(cbrt V)
258.0ms
(cbrt A)
252.0ms
(cbrt A)
211.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))

simplify2.5s

Counts
31 → 76
Calls
31 calls:
Slowest
882.0ms
(* (* (* c0 c0) c0) (* (* (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l))))) (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l))))))
273.0ms
(* (exp (* 1/6 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
217.0ms
(* (* (* c0 c0) c0) (* (* (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) (* (* (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l))))))
208.0ms
(* (exp (* 1/6 (- (log A) (+ (log l) (log V))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
184.0ms
(* (* c0 (* (exp (* 1/6 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (fabs (* (pow (/ (* A -1) (* V l)) 1/3) (/ 1 (cbrt -1)))))) (sqrt (/ 1 (cbrt -1))))

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:
Slowest
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt V)
1.0ms
(cbrt V)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
341.0ms
(cbrt A)
339.0ms
(cbrt V)
338.0ms
(cbrt A)
263.0ms
(cbrt V)

simplify733.0ms

Counts
24 → 68
Calls
24 calls:
Slowest
158.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
156.0ms
(* (pow (* V -1) 1/3) (cbrt -1))
136.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
115.0ms
(* (pow (* V -1) 1/3) (cbrt -1))
31.0ms
(pow (/ 1 V) -1/3)

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (1.1b remaining)

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

bsearch6.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
915.0ms8862×body80valid
839.0ms8781×body80nan