Details

Time bar (total: 2.0m)

sample616.0ms

Algorithm
intervals
Results
210.0ms72×body5120valid
92.0ms404×body80nan
91.0ms62×body2560valid
63.0ms206×body80valid
53.0ms29×body10240exit
38.0ms33×body1280valid
9.0ms9×body640valid
6.0ms10×body320valid
1.0ms1×body160valid

simplify1.5s

Counts
1 → 1
Calls
1 calls:
Slowest
1.5s
(* (/ 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)))))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.3b

localize75.0ms

Local error

Found 4 expressions with local error:

28.4b
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
12.2b
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
10.6b
(* (* (/ d D) (/ d D)) (/ c0 h))
10.6b
(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
86×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
28×add-sqr-sqrt
26×cbrt-undiv div-exp associate-*r*
23×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
15×pow1
10×frac-times associate-*l/
8×sqrt-prod
7×fma-def
6×pow-prod-down associate-*r/ add-log-exp
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u unswap-sqr
2×flip3-- associate-*l* frac-add *-commutative div-inv flip-- difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
Counts
4 → 155
Calls
4 calls:
Slowest
1.7s
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
472.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
53.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
40.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

series753.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
340.0ms
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
288.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
69.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
55.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

simplify38.0s

Counts
175 → 167
Calls
175 calls:
Slowest
731.0ms
(* (* (/ d D) (/ d D)) (/ 1 (* (cbrt h) (cbrt h))))
701.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
686.0ms
(+ (* (sqrt (- (pow (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) 3) (pow (* M M) 3))) w) (* (sqrt (+ (* (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))) (+ (* (* M M) (* M M)) (* (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))))) (* (* (/ d D) (/ d D)) (/ c0 h))))
670.0ms
(* (* (/ d D) (/ d D)) (/ 1 (* (cbrt h) (cbrt h))))
644.0ms
(* (* (/ d D) (/ d D)) (/ (* (cbrt c0) (cbrt c0)) 1))

prune3.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.9b

localize22.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (/ c0 (* w 2)) 0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
7×associate-*l*
6×add-sqr-sqrt
4×*-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
3×pow1 times-frac associate-*r*
2×cbrt-undiv div-exp
1×expm1-log1p-u mul0 pow-prod-down associate-*l/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
Counts
1 → 31
Calls
1 calls:
Slowest
19.0ms
(* (/ c0 (* w 2)) 0)

series2.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
2.0ms
(* (/ c0 (* w 2)) 0)

simplify2.3s

Counts
33 → 34
Calls
33 calls:
Slowest
492.0ms
(log (* (/ c0 (* w 2)) 0))
342.0ms
(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
333.0ms
(+ (- (log c0) (+ (log w) (log 2))) (log 0))
178.0ms
(+ (- (log c0) (log (* w 2))) (log 0))
164.0ms
(+ (log (/ c0 (* w 2))) (log 0))

prune472.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.2b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune101.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.2b

localize57.0ms

Local error

Found 4 expressions with local error:

32.7b
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (/ d D) (* (/ d D) (/ c0 h))) w))
12.2b
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
10.6b
(* (* (/ d D) (/ d D)) (/ c0 h))
10.6b
(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
86×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
28×add-sqr-sqrt
26×cbrt-undiv div-exp associate-*r*
23×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
15×pow1
10×frac-times associate-*l/
8×sqrt-prod
7×fma-def
6×pow-prod-down associate-*r/ add-log-exp
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u unswap-sqr
2×flip3-- associate-*l* frac-add *-commutative div-inv flip-- difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
Counts
4 → 155
Calls
4 calls:
Slowest
1.7s
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (/ d D) (* (/ d D) (/ c0 h))) w))
476.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
63.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
60.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

series692.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
317.0ms
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (/ d D) (* (/ d D) (/ c0 h))) w))
263.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
72.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
39.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

simplify41.7s

Counts
175 → 167
Calls
175 calls:
Slowest
1.2s
(* (* (/ d D) (/ d D)) (/ 1 (* (cbrt h) (cbrt h))))
1.1s
(+ (* (sqrt (- (pow (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) 3) (pow (* M M) 3))) w) (* (sqrt (+ (* (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))) (+ (* (* M M) (* M M)) (* (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))))) (* (/ d D) (* (/ d D) (/ c0 h)))))
760.0ms
(* (* (/ d D) (/ d D)) (/ 1 (* (cbrt h) (cbrt h))))
699.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
678.0ms
(* (* (/ d D) (/ d D)) (/ (* (cbrt c0) (cbrt c0)) 1))

prune2.8s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.0b

regimes1.9s

Accuracy

14.7% (6.9b remaining)

Error of 32.4b against oracle of 25.5b and baseline of 33.6b

bsearch16.0ms

end0.0ms

sample20.1s

Algorithm
intervals
Results
5.7s2266×body5120valid
4.5s12911×body80nan
3.1s1784×body2560valid
2.4s6793×body80valid
1.3s613×body10240exit
1.2s872×body1280valid
538.0ms447×body640valid
187.0ms225×body320valid
61.0ms131×body160valid