Details

Time bar (total: 1.3m)

sample546.0ms

Algorithm
intervals
Results
137.0ms59×body2560valid
111.0ms490×body80nan
110.0ms65×body5120valid
50.0ms233×body80valid
48.0ms26×body1280valid
17.0ms10×body10240exit
12.0ms14×body640valid
4.0ms7×body320valid
2.0ms5×body160valid

simplify956.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
956.0ms
(* (/ 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)))))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.6b

localize84.0ms

Local error

Found 4 expressions with local error:

24.6b
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
16.6b
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
11.3b
(* (* (/ d D) (/ d D)) (/ c0 h))
11.3b
(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.9s

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
1.9s
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
899.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
48.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
41.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

series728.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
328.0ms
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
289.0ms
(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))
46.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

simplify20.1s

Counts
130 → 167
Calls
130 calls:
Slowest
672.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
613.0ms
(+ (* (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))))
531.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
515.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
464.0ms
(* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))

prune3.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.8b

localize9.0ms

Local error

Found 1 expressions with local error:

5.4b
(* (/ c0 (* w 2)) 0)

rewrite20.0ms

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
1.0ms
(* (/ c0 (* w 2)) 0)

simplify1.4s

Counts
20 → 34
Calls
20 calls:
Slowest
318.0ms
(+ (- (log c0) (+ (log w) (log 2))) (log 0))
309.0ms
(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
252.0ms
(+ (- (log c0) (log (* w 2))) (log 0))
171.0ms
(+ (log (/ c0 (* w 2))) (log 0))
117.0ms
(* (/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2))) (* (* 0 0) 0))

prune526.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.3b

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

prune113.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.3b

localize47.0ms

Local error

Found 4 expressions with local error:

29.6b
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (/ d D) (* (/ d D) (/ c0 h))) w))
16.6b
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
11.3b
(* (* (/ d D) (/ d D)) (/ c0 h))
11.3b
(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.6s

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
2.0s
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (/ d D) (* (/ d D) (/ c0 h))) w))
463.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
48.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
33.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

series728.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (/ d D) (* (/ d D) (/ c0 h))) w))
308.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
54.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
51.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

simplify20.7s

Counts
130 → 167
Calls
130 calls:
Slowest
883.0ms
(+ (* (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)))))
636.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
616.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
492.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
486.0ms
(* (cbrt (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))) (cbrt (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))))

prune3.3s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 25.8b

regimes2.5s

Accuracy

18.8% (6.8b remaining)

Error of 32.1b against oracle of 25.3b and baseline of 33.7b

bsearch11.0ms

end0.0ms

sample19.6s

Algorithm
intervals
Results
4.8s2216×body5120valid
4.8s13457×body80nan
3.7s1750×body2560valid
1.9s6929×body80valid
1.2s918×body1280valid
1.1s538×body10240exit
558.0ms451×body640valid
168.0ms219×body320valid
76.0ms103×body160valid