Details

Time bar (total: 23.1s)

sample67.0ms

Algorithm
intervals
Results
24.0ms284×body80valid
20.0ms243×body80nan

simplify38.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
37.0ms
(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize19.0ms

Local error

Found 3 expressions with local error:

16.5b
(sqrt (/ A (* V l)))
4.5b
(/ A (* V l))
0.5b
(* c0 (sqrt (/ A (* V l))))

rewrite39.0ms

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
24.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(sqrt (/ A (* V l)))
7.0ms
(/ A (* V l))

series152.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(* c0 (sqrt (/ A (* V l))))
56.0ms
(sqrt (/ A (* V l)))
22.0ms
(/ A (* V l))

simplify1.2s

Counts
51 → 84
Calls
51 calls:
Slowest
310.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
170.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
128.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
49.0ms
(- (log A) (log (* V l)))
43.0ms
(- (log A) (+ (log V) (log l)))

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize23.0ms

Local error

Found 4 expressions with local error:

16.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
2.7b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
21×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
17×cbrt-prod
9×pow1
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-div
2×frac-times sqrt-pow1 pow1/3 pow-prod-down associate-*l/ associate-*r/ div-inv
1×pow1/2 *-commutative sqrt-prod
Counts
4 → 107
Calls
4 calls:
Slowest
31.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series647.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
285.0ms
(cbrt A)
249.0ms
(cbrt A)
65.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
49.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify5.9s

Counts
80 → 119
Calls
80 calls:
Slowest
570.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
475.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
443.0ms
(+ (log (/ (* (cbrt A) (cbrt A)) V)) (- (log (cbrt A)) (log l)))
409.0ms
(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))
406.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

16.5b
(sqrt (/ A (* V l)))
16.5b
(sqrt (/ A (* V l)))
4.5b
(/ A (* V l))
4.5b
(/ A (* V l))

rewrite25.0ms

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
7.0ms
(/ A (* V l))
7.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
5.0ms
(sqrt (/ A (* V l)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
56.0ms
(sqrt (/ A (* V l)))
47.0ms
(sqrt (/ A (* V l)))
40.0ms
(/ A (* V l))
34.0ms
(/ A (* V l))

simplify1.3s

Counts
56 → 102
Calls
56 calls:
Slowest
167.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
161.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
154.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
135.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
50.0ms
(- (log A) (log (* V l)))

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 3 expressions with local error:

16.5b
(sqrt (* (/ 1 V) (/ A l)))
4.9b
(* (/ 1 V) (/ A l))
0.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite91.0ms

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
52.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
27.0ms
(* (/ 1 V) (/ A l))
9.0ms
(sqrt (* (/ 1 V) (/ A l)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
59.0ms
(sqrt (* (/ 1 V) (/ A l)))
20.0ms
(* (/ 1 V) (/ A l))

simplify4.1s

Counts
81 → 110
Calls
81 calls:
Slowest
437.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
394.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
283.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
148.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))
134.0ms
(cbrt (sqrt (* (/ 1 V) (/ A l))))

prune1.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.6b

regimes1.1s

Accuracy

46% (7.7b remaining)

Error of 12.3b against oracle of 4.6b and baseline of 18.9b

bsearch9.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
852.0ms8776×body80nan
823.0ms8902×body80valid