Details

Time bar (total: 2.0m)

sample1.3s

Algorithm
intervals
Results
717.0ms52×body2560valid
195.0ms75×body5120valid
142.0ms443×body80nan
59.0ms214×body80valid
52.0ms37×body1280valid
25.0ms12×body10240exit
16.0ms15×body640valid
8.0ms10×body320valid
2.0ms3×body160valid

simplify2.7s

Calls
1 calls:
Slowest
2.7s
(* (/ c0 (* 2 w)) (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))))

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.1b

localize253.0ms

Local error

Found 4 expressions with local error:

27.1b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
14.8b
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
12.7b
(* (/ c0 w) (* (/ d D) (/ d D)))
12.7b
(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-times
16×sqrt-div
14×pow1 add-cbrt-cube associate-*r/ add-exp-log
10×associate-*l/
8×*-un-lft-identity associate-*l* frac-add
7×flip3-+ flip-+
6×add-sqr-sqrt flip3-- pow-prod-down prod-exp add-cube-cbrt cbrt-unprod flip-- add-log-exp
4×insert-posit16
2×associate-*r* *-commutative div-inv
1×+-commutative sum-log pow1/2 sqrt-prod distribute-lft-out
Calls
4 calls:
Slowest
24.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
23.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
15.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
3.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

series1.6s

Calls
4 calls:
Slowest
739.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
662.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
125.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
100.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify32.1s

Calls
73 calls:
Slowest
2.5s
(* (/ c0 w) (* (/ d D) (/ d D)))
1.9s
(+ (* (sqrt (* (+ (pow M 3) (pow (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) 3)) (- (pow (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) 3) (pow M 3)))) h) (* (sqrt (* (+ (* M M) (- (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (* M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)))) (+ (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (+ (* M M) (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))))) (* (/ c0 w) (* (/ d D) (/ d D)))))
1.9s
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
1.6s
(+ (* (sqrt (* (+ (pow M 3) (pow (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) 3)) (- (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (* M M)))) h) (* (sqrt (* (+ (* M M) (- (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (* M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)))) (+ (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (* (/ c0 w) (* (/ d D) (/ d D)))))
1.6s
(+ (* (sqrt (* (- (* M M) (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))) (- (pow (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) 3) (pow M 3)))) h) (* (sqrt (* (- M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (+ (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (+ (* M M) (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))))) (* (/ c0 w) (* (/ d D) (/ d D)))))

prune4.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 48.9b

localize124.0ms

Local error

Found 4 expressions with local error:

15.7b
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
12.7b
(* (/ c0 w) (* (/ d D) (/ d D)))
7.0b
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
6.2b
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
16×frac-times pow1 add-cbrt-cube associate-*r/ add-exp-log
12×associate-*l*
10×associate-*l/
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod associate-/l/
6×associate-*r*
5×div-inv
4×insert-posit16 add-log-exp
3×*-commutative
1×clear-num frac-2neg associate-/l*
Calls
4 calls:
Slowest
102.0ms
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)
69.0ms
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
34.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
21.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

series817.0ms

Calls
4 calls:
Slowest
339.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
182.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
180.0ms
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
116.0ms
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)

simplify18.4s

Calls
68 calls:
Slowest
2.0s
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
1.3s
(+ (log (/ (/ c0 w) h)) (log (* (/ d D) (/ d D))))
880.0ms
(* (* (* (/ (/ c0 w) h) (/ (/ c0 w) h)) (/ (/ c0 w) h)) (* (* (* (/ d D) (/ d D)) (/ d D)) (* (* (/ d D) (/ d D)) (/ d D))))
820.0ms
(+ (log (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2)) (log (/ c0 w)))
675.0ms
(* (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (/ c0 w))

prune4.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 42.0b

localize248.0ms

Local error

Found 4 expressions with local error:

7.0b
(/ (* (/ d D) c0) w)
7.0b
(/ (* (/ d D) c0) w)
7.0b
(/ (* (/ d D) c0) w)
7.0b
(/ (* (/ d D) c0) w)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 clear-num frac-2neg *-un-lft-identity add-cbrt-cube associate-*l/ add-exp-log add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp associate-/l/
Calls
4 calls:
Slowest
25.0ms
(/ (* (/ d D) c0) w)
15.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)

series303.0ms

Calls
4 calls:
Slowest
120.0ms
(/ (* (/ d D) c0) w)
93.0ms
(/ (* (/ d D) c0) w)
46.0ms
(/ (* (/ d D) c0) w)
39.0ms
(/ (* (/ d D) c0) w)

simplify1.0s

Calls
20 calls:
Slowest
151.0ms
(/ (* c0 d) (* w D))
125.0ms
(/ (* c0 d) (* w D))
79.0ms
(/ (* c0 d) (* w D))
62.0ms
(/ (* c0 d) (* w D))
61.0ms
(/ (* c0 d) (* w D))

prune2.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 42.0b

localize38.0ms

Local error

Found 4 expressions with local error:

7.5b
(/ w (* (/ d D) c0))
7.0b
(/ (* (/ d D) c0) w)
7.0b
(/ (* (/ d D) c0) w)
7.0b
(/ (* (/ d D) c0) w)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 clear-num frac-2neg *-un-lft-identity add-cbrt-cube associate-*l/ add-exp-log add-cube-cbrt insert-posit16 div-inv add-log-exp
3×associate-/l* associate-/l/
1×associate-/r* associate-/r/
Calls
4 calls:
Slowest
11.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)
2.0ms
(/ w (* (/ d D) c0))

series133.0ms

Calls
4 calls:
Slowest
37.0ms
(/ (* (/ d D) c0) w)
33.0ms
(/ (* (/ d D) c0) w)
33.0ms
(/ (* (/ d D) c0) w)
30.0ms
(/ w (* (/ d D) c0))

simplify759.0ms

Calls
18 calls:
Slowest
64.0ms
(/ (* D w) (* c0 d))
62.0ms
(/ (* D w) (* c0 d))
61.0ms
(/ (* c0 d) (* w D))
61.0ms
(/ (* D w) (* c0 d))
61.0ms
(/ (* c0 d) (* w D))

prune1.6s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.0b

regimes4.5s

Accuracy

-8.9% (6.6b remaining)

Error of 46.8b against oracle of 40.2b and baseline of 46.3b

bsearch1.7s

end0.0ms

sample41.6s

Algorithm
intervals
Results
10.0s12926×body80nan
9.7s1722×body2560valid
8.8s2284×body5120valid
4.4s6699×body80valid
3.3s880×body1280valid
2.4s577×body10240exit
1.3s453×body640valid
276.0ms224×body320valid
114.0ms134×body160valid