Details

Time bar (total: 57.7s)

sample549.0ms

Algorithm
intervals
Results
145.0ms425×body80nan
145.0ms79×body5120valid
100.0ms60×body2560valid
41.0ms216×body80valid
39.0ms34×body1280valid
27.0ms17×body10240exit
12.0ms13×body640valid
4.0ms7×body320valid
1.0ms3×body160valid

simplify1.1s

Calls
1 calls:
Slowest
1.1s
(* (/ 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)))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize35.0ms

Local error

Found 4 expressions with local error:

28.5b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
14.4b
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
10.6b
(* (/ c0 w) (* (/ d D) (/ d D)))
10.6b
(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite61.0ms

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
29.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
17.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
10.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
3.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

series1.0s

Calls
4 calls:
Slowest
496.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
414.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
68.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
58.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify13.2s

Calls
73 calls:
Slowest
818.0ms
(+ (* (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)))))
757.0ms
(+ (* (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)))))
611.0ms
(+ (* (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)))))
480.0ms
(* (exp (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))) (exp (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)))
454.0ms
(+ (* (sqrt (* (- (* M M) (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))) (- (* (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (* M M)))) h) (* (sqrt (* (- M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (+ (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (* (/ c0 w) (* (/ d D) (/ d D)))))

prune1.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 49.4b

localize20.0ms

Local error

Found 4 expressions with local error:

14.1b
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
10.6b
(* (/ c0 w) (* (/ d D) (/ d D)))
7.2b
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)
7.1b
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))

rewrite89.0ms

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
39.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
26.0ms
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)
12.0ms
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
10.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

series426.0ms

Calls
4 calls:
Slowest
190.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
92.0ms
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
72.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
71.0ms
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)

simplify9.2s

Calls
68 calls:
Slowest
589.0ms
(+ (log (/ (/ c0 w) h)) (+ (log (/ d D)) (log (/ d D))))
499.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
440.0ms
(+ (log (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2)) (log (/ c0 w)))
437.0ms
(* (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (/ c0 w))
425.0ms
(+ (log (/ (/ c0 w) h)) (log (* (/ d D) (/ d D))))

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 44.2b

localize27.0ms

Local error

Found 4 expressions with local error:

7.6b
(/ (* (/ d D) c0) w)
7.6b
(/ (* (/ d D) c0) w)
7.6b
(/ (* (/ d D) c0) w)
7.6b
(/ (* (/ d D) c0) w)

rewrite26.0ms

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
9.0ms
(/ (* (/ d D) c0) w)
6.0ms
(/ (* (/ d D) c0) w)
5.0ms
(/ (* (/ d D) c0) w)
5.0ms
(/ (* (/ d D) c0) w)

series112.0ms

Calls
4 calls:
Slowest
31.0ms
(/ (* (/ d D) c0) w)
31.0ms
(/ (* (/ d D) c0) w)
30.0ms
(/ (* (/ d D) c0) w)
20.0ms
(/ (* (/ d D) c0) w)

simplify505.0ms

Calls
20 calls:
Slowest
58.0ms
(/ (* c0 d) (* w D))
45.0ms
(/ (* c0 d) (* w D))
43.0ms
(/ (* c0 d) (* w D))
42.0ms
(/ (* c0 d) (* w D))
39.0ms
(/ (* c0 d) (* w D))

prune1.2s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 44.2b

localize23.0ms

Local error

Found 4 expressions with local error:

14.3b
(cbrt (/ (* (/ d D) c0) w))
14.3b
(cbrt (/ (* (/ d D) c0) w))
14.3b
(cbrt (/ (* (/ d D) c0) w))
7.6b
(/ (* (/ d D) c0) w)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3
1×clear-num frac-2neg associate-*l/ associate-/l* associate-/l/
Calls
4 calls:
Slowest
12.0ms
(/ (* (/ d D) c0) w)
1.0ms
(cbrt (/ (* (/ d D) c0) w))
1.0ms
(cbrt (/ (* (/ d D) c0) w))
1.0ms
(cbrt (/ (* (/ d D) c0) w))

series349.0ms

Calls
4 calls:
Slowest
117.0ms
(cbrt (/ (* (/ d D) c0) w))
114.0ms
(cbrt (/ (* (/ d D) c0) w))
99.0ms
(cbrt (/ (* (/ d D) c0) w))
19.0ms
(/ (* (/ d D) c0) w)

simplify2.6s

Calls
29 calls:
Slowest
356.0ms
(exp (* 1/3 (- (+ (log (/ 1 D)) (log (/ 1 w))) (+ (log (/ 1 d)) (log (/ 1 c0))))))
334.0ms
(exp (* 1/3 (- (+ (log (/ 1 D)) (log (/ 1 w))) (+ (log (/ 1 d)) (log (/ 1 c0))))))
279.0ms
(exp (* 1/3 (- (+ (log (/ 1 D)) (log (/ 1 w))) (+ (log (/ 1 d)) (log (/ 1 c0))))))
178.0ms
(exp (* 1/3 (- (+ (log c0) (log d)) (+ (log D) (log w)))))
134.0ms
(exp (* 1/3 (- (+ (log c0) (log d)) (+ (log D) (log w)))))

prune1.1s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 44.2b

regimes2.1s

Accuracy

-3.3% (6.2b remaining)

Error of 47.0b against oracle of 40.8b and baseline of 46.8b

bsearch1.2s

end0.0ms

sample19.1s

Algorithm
intervals
Results
6.2s2330×body5120valid
3.5s13012×body80nan
3.1s1731×body2560valid
2.1s6679×body80valid
1.6s599×body10240exit
1.1s917×body1280valid
434.0ms435×body640valid
130.0ms203×body320valid
48.0ms108×body160valid