Details

Time bar (total: 22.8s)

sample88.0ms

Algorithm
intervals
Results
33.0ms286×body80valid
31.0ms279×body80nan

simplify30.0ms

Calls
1 calls:
Slowest
30.0ms
(* c0 (sqrt (/ A (* V l))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize42.0ms

Local error

Found 3 expressions with local error:

11.7b
(sqrt (/ A (* V l)))
5.1b
(/ A (* V l))
1.0b
(* c0 (sqrt (/ A (* V l))))

rewrite57.0ms

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×associate-*l* insert-posit16 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
Calls
3 calls:
Slowest
33.0ms
(* c0 (sqrt (/ A (* V l))))
13.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series143.0ms

Calls
3 calls:
Slowest
62.0ms
(* c0 (sqrt (/ A (* V l))))
55.0ms
(sqrt (/ A (* V l)))
25.0ms
(/ A (* V l))

simplify1.3s

Calls
51 calls:
Slowest
277.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
192.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
144.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
46.0ms
(- (log A) (log (* V l)))
39.0ms
(* (sqrt c0) (sqrt (sqrt (/ A (* V l)))))

prune881.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize31.0ms

Local error

Found 3 expressions with local error:

11.7b
(sqrt (/ (/ A V) l))
4.7b
(/ (/ A V) l)
1.0b
(* c0 (sqrt (/ (/ A V) l)))

rewrite35.0ms

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×cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* insert-posit16 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/
Calls
3 calls:
Slowest
13.0ms
(* c0 (sqrt (/ (/ A V) l)))
11.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series171.0ms

Calls
3 calls:
Slowest
82.0ms
(* c0 (sqrt (/ (/ A V) l)))
48.0ms
(sqrt (/ (/ A V) l))
41.0ms
(/ (/ A V) l)

simplify7.1s

Calls
212 calls:
Slowest
698.0ms
(/ (/ (* (* A A) A) (* (* V V) V)) (* (* l l) l))
403.0ms
(/ (* (* (/ A V) (/ A V)) (/ A V)) (* (* l l) l))
366.0ms
(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l))))
358.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l)))
209.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ (/ A V) l)) (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l))))

prune2.4s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* 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)

rewrite46.0ms

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×insert-posit16 add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×sqrt-div associate-*r* *-commutative
Calls
4 calls:
Slowest
44.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))
1.0ms
(cbrt A)
1.0ms
(cbrt V)
1.0ms
(cbrt A)

series1.0s

Calls
4 calls:
Slowest
322.0ms
(cbrt A)
275.0ms
(cbrt V)
241.0ms
(cbrt A)
205.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))

simplify2.5s

Calls
31 calls:
Slowest
887.0ms
(* (* (* 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))))))
298.0ms
(* (exp (* 1/6 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
220.0ms
(* (* 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))))
185.0ms
(* (* (* 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))))))
149.0ms
(* (exp (* 1/6 (- (log A) (+ (log l) (log V))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Calls
4 calls:
Slowest
1.0ms
(cbrt A)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt V)

series1.1s

Calls
4 calls:
Slowest
297.0ms
(cbrt A)
288.0ms
(cbrt V)
268.0ms
(cbrt A)
248.0ms
(cbrt V)

simplify723.0ms

Calls
24 calls:
Slowest
158.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
149.0ms
(* (pow (* V -1) 1/3) (cbrt -1))
134.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
114.0ms
(* (pow (* V -1) 1/3) (cbrt -1))
32.0ms
(pow (/ 1 V) -1/3)

prune906.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

regimes559.0ms

Accuracy

0% (1.1b remaining)

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

bsearch4.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
931.0ms8873×body80valid
876.0ms8662×body80nan