Details

Time bar (total: 17.5s)

sample81.0ms

Algorithm
intervals
Results
32.0ms347×body80nan
26.0ms283×body80valid

simplify31.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
31.0ms
(* c0 (sqrt (/ A (* V l))))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize12.0ms

Local error

Found 3 expressions with local error:

13.6b
(sqrt (/ A (* V l)))
2.9b
(/ A (* V l))
1.4b
(* c0 (sqrt (/ A (* V l))))

rewrite43.0ms

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
25.0ms
(* c0 (sqrt (/ A (* V l))))
12.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
53.0ms
(* c0 (sqrt (/ A (* V l))))
48.0ms
(sqrt (/ A (* V l)))
33.0ms
(/ A (* V l))

simplify1.2s

Counts
51 → 84
Calls
51 calls:
Slowest
271.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
168.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
157.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
56.0ms
(- (log A) (+ (log V) (log l)))
46.0ms
(- (log A) (log (* V l)))

prune907.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.5b

localize18.0ms

Local error

Found 3 expressions with local error:

13.6b
(sqrt (/ A (* l V)))
2.9b
(/ A (* l V))
1.4b
(* c0 (sqrt (/ A (* l V))))

rewrite31.0ms

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
18.0ms
(* c0 (sqrt (/ A (* l V))))
7.0ms
(/ A (* l V))
5.0ms
(sqrt (/ A (* l V)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
82.0ms
(* c0 (sqrt (/ A (* l V))))
59.0ms
(sqrt (/ A (* l V)))
37.0ms
(/ A (* l V))

simplify1.2s

Counts
51 → 84
Calls
51 calls:
Slowest
267.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* l V))) (sqrt (/ A (* l V)))) (sqrt (/ A (* l V)))))
176.0ms
(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
117.0ms
(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
39.0ms
(* (sqrt c0) (sqrt (sqrt (/ A (* l V)))))
36.0ms
(* (sqrt c0) (sqrt (sqrt (/ A (* l V)))))

prune968.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.6b

localize38.0ms

Local error

Found 4 expressions with local error:

13.6b
(sqrt (/ A (* l V)))
13.6b
(sqrt (/ A (* l V)))
2.9b
(/ A (* l V))
2.9b
(/ A (* l V))

rewrite24.0ms

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 (* l V))
6.0ms
(/ A (* l V))
5.0ms
(sqrt (/ A (* l V)))
5.0ms
(sqrt (/ A (* l V)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
50.0ms
(sqrt (/ A (* l V)))
37.0ms
(/ A (* l V))
33.0ms
(sqrt (/ A (* l V)))
33.0ms
(/ A (* l V))

simplify1.2s

Counts
56 → 102
Calls
56 calls:
Slowest
196.0ms
(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
154.0ms
(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
119.0ms
(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
114.0ms
(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
66.0ms
(- (log A) (+ (log l) (log V)))

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.6b

localize70.0ms

Local error

Found 4 expressions with local error:

16.3b
(cbrt (/ A (* l V)))
16.3b
(cbrt (/ A (* l V)))
16.3b
(cbrt (/ A (* l V)))
13.6b
(sqrt (* (* (cbrt (/ A (* l V))) (cbrt (/ A (* l V)))) (cbrt (/ A (* l V)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
21×cbrt-prod
15×cbrt-div sqrt-pow1
12×pow1/3
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac pow-prod-up
7×sqrt-div
6×pow-plus
5×frac-times pow-prod-down associate-*l/
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r/ pow-sqr div-inv
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 91
Calls
4 calls:
Slowest
33.0ms
(sqrt (* (* (cbrt (/ A (* l V))) (cbrt (/ A (* l V)))) (cbrt (/ A (* l V)))))
7.0ms
(cbrt (/ A (* l V)))
7.0ms
(cbrt (/ A (* l V)))
7.0ms
(cbrt (/ A (* l V)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(cbrt (/ A (* l V)))
122.0ms
(cbrt (/ A (* l V)))
110.0ms
(cbrt (/ A (* l V)))
81.0ms
(sqrt (* (* (cbrt (/ A (* l V))) (cbrt (/ A (* l V)))) (cbrt (/ A (* l V)))))

simplify4.4s

Counts
59 → 103
Calls
59 calls:
Slowest
703.0ms
(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
395.0ms
(* (* (/ A (* l V)) (/ A (* l V))) (/ A (* l V)))
385.0ms
(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
378.0ms
(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
373.0ms
(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.6b

regimes788.0ms

Accuracy

30% (10.7b remaining)

Error of 14.4b against oracle of 3.7b and baseline of 18.9b

bsearch8.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
947.0ms8901×body80valid
856.0ms8830×body80nan