Details

Time bar (total: 24.6s)

sample70.0ms

Algorithm
intervals
Results
23.0ms311×body80nan
22.0ms291×body80valid

simplify46.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
46.0ms
(* c0 (sqrt (/ A (* V l))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize25.0ms

Local error

Found 3 expressions with local error:

14.1b
(sqrt (/ A (* V l)))
6.0b
(/ A (* V l))
2.1b
(* c0 (sqrt (/ A (* V l))))

rewrite59.0ms

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
Counts
3 → 69
Calls
3 calls:
Slowest
34.0ms
(* c0 (sqrt (/ A (* V l))))
13.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(* c0 (sqrt (/ A (* V l))))
62.0ms
(sqrt (/ A (* V l)))
35.0ms
(/ A (* V l))

simplify1.1s

Counts
51 → 78
Calls
51 calls:
Slowest
249.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
153.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
113.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
49.0ms
(- (log A) (+ (log V) (log l)))
39.0ms
(- (log A) (log (* V l)))

prune875.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.4b

localize23.0ms

Local error

Found 3 expressions with local error:

14.1b
(sqrt (/ (/ A V) l))
5.0b
(/ (/ A V) l)
2.1b
(* c0 (sqrt (/ (/ A V) l)))

rewrite29.0ms

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/
Counts
3 → 194
Calls
3 calls:
Slowest
13.0ms
(* c0 (sqrt (/ (/ A V) l)))
8.0ms
(/ (/ A V) l)
4.0ms
(sqrt (/ (/ A V) l))

series151.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(* c0 (sqrt (/ (/ A V) l)))
65.0ms
(sqrt (/ (/ A V) l))
22.0ms
(/ (/ A V) l)

simplify7.5s

Counts
212 → 203
Calls
212 calls:
Slowest
727.0ms
(/ (/ (* (* A A) A) (* (* V V) V)) (* (* l l) l))
455.0ms
(/ (* (* (/ A V) (/ A V)) (/ A V)) (* (* l l) l))
336.0ms
(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l))))
329.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l)))
285.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ (/ A V) l)) (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l))))

prune2.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.9b

localize52.0ms

Local error

Found 4 expressions with local error:

2.1b
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))
0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt A)

rewrite41.0ms

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
Counts
4 → 56
Calls
4 calls:
Slowest
38.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
350.0ms
(cbrt A)
340.0ms
(cbrt l)
280.0ms
(cbrt l)
215.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))))

simplify2.4s

Counts
31 → 68
Calls
31 calls:
Slowest
787.0ms
(* (* (* 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))))))
251.0ms
(* (exp (* 1/6 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
210.0ms
(* (* (* 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))))))
203.0ms
(* (exp (* 1/6 (- (log A) (+ (log l) (log V))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
166.0ms
(* (* 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

24 alts after pruning (23 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt A)
0.6b
(cbrt A)

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
Counts
4 → 48
Calls
4 calls:
Slowest
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
341.0ms
(cbrt l)
314.0ms
(cbrt A)
299.0ms
(cbrt A)
294.0ms
(cbrt l)

simplify763.0ms

Counts
24 → 60
Calls
24 calls:
Slowest
172.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
169.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
128.0ms
(* (cbrt -1) (pow (* l -1) 1/3))
127.0ms
(* (cbrt -1) (pow (* l -1) 1/3))
35.0ms
(pow (/ 1 l) -1/3)

prune967.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s8912×body80valid
868.0ms8885×body80nan