Details

Time bar (total: 31.9s)

sample59.0ms

Algorithm
intervals
Results
20.0ms287×body80nan
19.0ms284×body80valid

simplify39.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
38.0ms
(* c0 (sqrt (/ A (* V l))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize23.0ms

Local error

Found 3 expressions with local error:

14.1b
(sqrt (/ A (* V l)))
5.4b
(/ A (* V l))
1.4b
(* c0 (sqrt (/ A (* V l))))

rewrite53.0ms

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
31.0ms
(* c0 (sqrt (/ A (* V l))))
12.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(* c0 (sqrt (/ A (* V l))))
57.0ms
(sqrt (/ A (* V l)))
31.0ms
(/ A (* V l))

simplify1.3s

Counts
51 → 84
Calls
51 calls:
Slowest
330.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
171.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
119.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
63.0ms
(- (log A) (+ (log V) (log l)))
39.0ms
(* (sqrt c0) (sqrt (sqrt (/ A (* V l)))))

prune931.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.9b

localize25.0ms

Local error

Found 4 expressions with local error:

14.1b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
4.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.4b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b
(cbrt A)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 *-commutative sqrt-prod div-inv
1×pow1/2 pow1/3
Counts
4 → 118
Calls
4 calls:
Slowest
57.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
28.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
24.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.0ms
(cbrt A)

series476.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
248.0ms
(cbrt A)
93.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
78.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
57.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify7.0s

Counts
91 → 130
Calls
91 calls:
Slowest
653.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
477.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
455.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
431.0ms
(+ (log (/ (* (cbrt A) (cbrt A)) V)) (- (log (cbrt A)) (log l)))
396.0ms
(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))

prune1.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.0b

localize47.0ms

Local error

Found 4 expressions with local error:

14.1b
(sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))
3.0b
(* (/ (cbrt A) V) (/ (cbrt A) l))
1.8b
(* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))
1.4b
(* c0 (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
48×times-frac
36×add-exp-log
34×*-un-lft-identity add-cube-cbrt
31×associate-*l*
27×cbrt-prod associate-*r*
23×add-cbrt-cube
19×pow1
16×associate-*r/
14×prod-exp cbrt-unprod
10×unswap-sqr
8×cbrt-undiv div-exp pow-prod-down
6×sqrt-div
4×expm1-log1p-u frac-times associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 *-commutative
2×sqrt-prod div-inv
1×pow1/2
Counts
4 → 152
Calls
4 calls:
Slowest
119.0ms
(* c0 (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
33.0ms
(* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))
25.0ms
(* (/ (cbrt A) V) (/ (cbrt A) l))
21.0ms
(sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(* (/ (cbrt A) V) (/ (cbrt A) l))
96.0ms
(* c0 (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
77.0ms
(sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))
65.0ms
(* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))

simplify9.9s

Counts
125 → 164
Calls
125 calls:
Slowest
689.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))) (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))) (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))))
671.0ms
(* (pow (pow A 2) 1/3) (/ 1 (* l V)))
498.0ms
(* (* (* (/ (cbrt A) V) (/ (cbrt A) V)) (/ (cbrt A) V)) (* (* (/ (cbrt A) l) (/ (cbrt A) l)) (/ (cbrt A) l)))
474.0ms
(* (/ A (* (* V V) V)) (* (* (/ (cbrt A) l) (/ (cbrt A) l)) (/ (cbrt A) l)))
472.0ms
(* (* (* (/ (cbrt A) V) (/ (cbrt A) V)) (/ (cbrt A) V)) (/ A (* (* l l) l)))

prune2.6s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

localize38.0ms

Local error

Found 4 expressions with local error:

14.1b
(sqrt (/ A (* V l)))
14.1b
(sqrt (/ A (* V l)))
5.4b
(/ A (* V l))
5.4b
(/ A (* V l))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cbrt-cube add-exp-log sqrt-prod
12×*-un-lft-identity times-frac add-cube-cbrt
6×pow1 associate-/l*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod
Counts
4 → 90
Calls
4 calls:
Slowest
9.0ms
(sqrt (/ A (* V l)))
8.0ms
(sqrt (/ A (* V l)))
7.0ms
(/ A (* V l))
7.0ms
(/ A (* V l))

series149.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
54.0ms
(sqrt (/ A (* V l)))
49.0ms
(sqrt (/ A (* V l)))
25.0ms
(/ A (* V l))
21.0ms
(/ A (* V l))

simplify1.2s

Counts
56 → 102
Calls
56 calls:
Slowest
178.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
145.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
142.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
111.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
48.0ms
(- (log A) (log (* V l)))

prune1.6s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 2.0b

regimes1.3s

Accuracy

30.9% (8.7b remaining)

Error of 13.0b against oracle of 4.3b and baseline of 16.9b

bsearch11.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
921.0ms8868×body80nan
885.0ms8917×body80valid