Details

Time bar (total: 26.7s)

sample68.0ms

Algorithm
intervals
Results
25.0ms280×body80valid
24.0ms279×body80nan

simplify30.0ms

Counts
1 → 1
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: 18.4b

localize42.0ms

Local error

Found 3 expressions with local error:

13.4b
(sqrt (/ A (* V l)))
5.8b
(/ A (* V l))
1.8b
(* c0 (sqrt (/ A (* V l))))

rewrite36.0ms

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
16.0ms
(* c0 (sqrt (/ A (* V l))))
12.0ms
(sqrt (/ A (* V l)))
7.0ms
(/ A (* V l))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(* c0 (sqrt (/ A (* V l))))
50.0ms
(sqrt (/ A (* V l)))
37.0ms
(/ A (* V l))

simplify1.7s

Counts
51 → 84
Calls
51 calls:
Slowest
428.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) V))
297.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
154.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
138.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
68.0ms
(- (log A) (+ (log V) (log l)))

prune930.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.5b

localize19.0ms

Local error

Found 3 expressions with local error:

13.4b
(sqrt (* (/ 1 V) (/ A l)))
4.5b
(* (/ 1 V) (/ A l))
1.8b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×add-cbrt-cube associate-*r*
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×expm1-log1p-u frac-times pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
Slowest
24.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
69.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
67.0ms
(sqrt (* (/ 1 V) (/ A l)))
32.0ms
(* (/ 1 V) (/ A l))

simplify4.0s

Counts
81 → 110
Calls
81 calls:
Slowest
463.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
400.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
203.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
147.0ms
(+ (- 0 (log V)) (- (log A) (log l)))
146.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.9b

localize12.0ms

Local error

Found 3 expressions with local error:

13.4b
(sqrt (/ (/ A l) V))
4.4b
(/ (/ A l) V)
1.8b
(* c0 (sqrt (/ (/ A l) V)))

rewrite52.0ms

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
27.0ms
(* c0 (sqrt (/ (/ A l) V)))
14.0ms
(/ (/ A l) V)
4.0ms
(sqrt (/ (/ A l) V))

series144.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(* c0 (sqrt (/ (/ A l) V)))
54.0ms
(sqrt (/ (/ A l) V))
29.0ms
(/ (/ A l) V)

simplify7.3s

Counts
212 → 209
Calls
212 calls:
Slowest
655.0ms
(/ (/ (* (* A A) A) (* (* l l) l)) (* (* V V) V))
378.0ms
(/ (* (* (/ A l) (/ A l)) (/ A l)) (* (* V V) V))
376.0ms
(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) (* (cbrt V) (cbrt V))))
333.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) (* (cbrt V) (cbrt V)))
253.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ (/ A l) V)) (sqrt (/ (/ A l) V))) (sqrt (/ (/ A l) V))))

prune2.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 1.5b

localize38.0ms

Local error

Found 4 expressions with local error:

1.8b
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V)))))
0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt l)

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
38.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V)))))
1.0ms
(cbrt V)
1.0ms
(cbrt l)
1.0ms
(cbrt V)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
320.0ms
(cbrt V)
292.0ms
(cbrt V)
280.0ms
(cbrt l)
245.0ms
(* c0 (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V)))))

simplify2.4s

Counts
31 → 76
Calls
31 calls:
Slowest
849.0ms
(* (* (* c0 c0) c0) (* (* (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V)))) (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V))))) (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V))))))
306.0ms
(* (exp (* 1/6 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
200.0ms
(* (* (* c0 c0) c0) (* (* (* (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V)))) (fabs (/ (/ (cbrt A) (cbrt l)) (cbrt V)))) (* (* (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V)))) (sqrt (/ (/ (cbrt A) (cbrt l)) (cbrt V))))))
186.0ms
(* (exp (* 1/6 (- (log A) (+ (log l) (log V))))) (* c0 (fabs (pow (/ A (* l V)) 1/3))))
156.0ms
(* (cbrt -1) (pow (* l -1) 1/3))

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

regimes675.0ms

Accuracy

0% (1.1b remaining)

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

bsearch4.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s8898×body80valid
999.0ms8759×body80nan