Details

Time bar (total: 4.5m)

sample578.0ms

Algorithm
intervals
Results
129.0ms72×body5120valid
112.0ms62×body2560valid
102.0ms206×body80valid
86.0ms404×body80nan
52.0ms29×body10240exit
35.0ms33×body1280valid
10.0msbody640valid
7.0ms10×body320valid
0.0msbody160valid

simplify1.1s

Counts
1 → 1
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)))))

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 49.5b

localize74.0ms

Local error

Found 4 expressions with local error:

28.4b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
127×add-cbrt-cube add-exp-log
54×prod-exp cbrt-unprod
39×cbrt-undiv div-exp associate-*l*
34×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity
25×add-cube-cbrt
19×frac-times pow1
17×associate-*r/
11×associate-*l/
pow-prod-down
sqrt-div frac-add
add-log-exp unswap-sqr
flip3-+ flip-+ insert-posit16
flip3-- associate-*r* *-commutative div-inv flip--
+-commutative sum-log distribute-lft-out
Counts
4 → 183
Calls
4 calls:
Slowest
57.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
54.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
52.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
52.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
934.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
108.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
90.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
87.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify49.1s

Counts
216 → 195
Calls
216 calls:
Slowest
820.0ms
(* (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)))
806.0ms
(+ (* (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)))))
782.0ms
(+ (* (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)))))
765.0ms
(* (/ (* (* c0 c0) c0) (* (* w w) w)) (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))))
680.0ms
(* (/ (* (* c0 c0) c0) (* (* w w) w)) (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))))

prune3.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 47.8b

localize90.0ms

Local error

Found 4 expressions with local error:

28.4b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
28.4b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite546.0ms

Algorithm
rewrite-expression-head
Rules
86×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp associate-*l*
24×add-sqr-sqrt
22×*-un-lft-identity
20×times-frac
18×frac-times add-cube-cbrt
16×sqrt-div frac-add
14×pow1 associate-*r/
10×associate-*l/
flip3-+ flip-+ add-log-exp
flip3-- pow-prod-down flip--
insert-posit16 unswap-sqr
+-commutative sum-log associate-*r* *-commutative div-inv distribute-lft-out
Counts
4 → 150
Calls
4 calls:
Slowest
391.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
59.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
56.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
36.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
846.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
832.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
121.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
96.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify50.0s

Counts
188 → 162
Calls
188 calls:
Slowest
885.0ms
(+ (* (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)))))
853.0ms
(+ (* (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)))))
851.0ms
(- (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
758.0ms
(+ (* (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)))))
725.0ms
(+ (* (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)))))

prune3.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 47.8b

localize70.0ms

Local error

Found 4 expressions with local error:

33.8b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))
13.4b
(* (/ c0 w) (* (/ d D) (/ d D)))
12.2b
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
86×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp associate-*l*
24×add-sqr-sqrt
20×*-un-lft-identity times-frac
18×frac-times add-cube-cbrt
17×pow1
16×sqrt-div
14×associate-*r/
10×associate-*l/
frac-add
flip3-+ pow-prod-down flip-+
flip3-- flip-- add-log-exp
insert-posit16 unswap-sqr
sqrt-pow1 associate-*r* *-commutative div-inv
+-commutative sum-log pow1/2 sqrt-prod distribute-lft-out
Counts
4 → 149
Calls
4 calls:
Slowest
43.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
43.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
38.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
26.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
922.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
769.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
110.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
108.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify41.6s

Counts
186 → 161
Calls
186 calls:
Slowest
788.0ms
(+ (* (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))))
654.0ms
(* (* (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))) (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))))
622.0ms
(* (/ (* (* c0 c0) c0) (* (* w w) w)) (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))))
595.0ms
(* (/ (* (* c0 c0) c0) (* (* w w) w)) (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))))
576.0ms
(sqrt (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))))

prune3.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 44.6b

localize59.0ms

Local error

Found 4 expressions with local error:

28.4b
(+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))
12.2b
(sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M)))
8.3b
(* (* 1 (+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))) (/ c0 w))
6.1b
(* (/ d D) c0)

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
97×associate-*r/
90×frac-times
80×sqrt-div
72×frac-add
71×associate-*l/
33×flip3-+ flip-+
30×flip3-- flip--
26×add-exp-log
24×add-sqr-sqrt
21×add-cbrt-cube
19×*-un-lft-identity times-frac add-cube-cbrt
16×associate-*r*
14×pow1 associate-*l*
12×prod-exp
cbrt-unprod
add-log-exp
pow-prod-down
div-exp insert-posit16
cbrt-undiv
sqrt-pow1 1-exp *-commutative div-inv unswap-sqr
+-commutative sum-log pow1/2 sqrt-prod
Counts
4 → 177
Calls
4 calls:
Slowest
209.0ms
(* (* 1 (+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))) (/ c0 w))
45.0ms
(sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M)))
39.0ms
(+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))
20.0ms
(* (/ d D) c0)

series2.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.3s
(sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M)))
798.0ms
(* (* 1 (+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))) (/ c0 w))
419.0ms
(+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))
22.0ms
(* (/ d D) c0)

simplify1.4m

Counts
248 → 189
Calls
248 calls:
Slowest
957.0ms
(* (* 1 (+ (* (* (* (/ d D) c0) (/ (/ d D) w)) (sqrt (+ (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (+ (* M M) (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))) (* h (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (pow (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) 3) (pow M 3))))))) c0)
922.0ms
(* (* 1 (+ (* (* (/ (* (/ d D) c0) h) (/ d D)) (sqrt (+ (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (+ (* M M) (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))) (* w (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (pow (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) 3) (pow M 3))))))) c0)
885.0ms
(* (* h w) (sqrt (* (+ (* M M) (- (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (* M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))))) (+ (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (+ (* M M) (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))))
876.0ms
(+ (* (* (/ (* (/ d D) c0) h) (/ d D)) (sqrt (+ (* M M) (- (* (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (* M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))))))) (* w (sqrt (* (+ (pow M 3) (pow (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) 3)) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M)))))
852.0ms
(* (* (* (* 1 1) 1) (* (* (+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M)))) (+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M))))) (+ (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) (sqrt (* (+ M (* (/ (* (/ d D) c0) h) (/ (/ d D) w))) (- (* (/ (* (/ d D) c0) h) (/ (/ d D) w)) M)))))) (/ (* (* c0 c0) c0) (* (* w w) w)))

prune3.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 19.3b

regimes1.5s

Accuracy

-11.2% (12.8b remaining)

Error of 34.9b against oracle of 22.0b and baseline of 33.6b

bsearch2.2s

end0.0ms

sample19.9s

Algorithm
intervals
Results
5.0s2266×body5120valid
4.3s1784×body2560valid
3.7s12911×body80nan
1.9s6793×body80valid
1.8s613×body10240exit
1.2s872×body1280valid
550.0ms447×body640valid
148.0ms225×body320valid
66.0ms131×body160valid