Details

Time bar (total: 56.8s)

sample562.0ms

Algorithm
intervals
Results
177.0ms74×body5120valid
111.0ms59×body2560valid
90.0ms397×body80nan
53.0ms20×body1280valid
43.0ms204×body80valid
33.0ms20×body10240exit
8.0ms10×body640valid
6.0ms8×body320valid
2.0ms3×body160valid

simplify1.3s

Calls
1 calls:
Slowest
1.3s
(* (/ 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)))))

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.8b

localize46.0ms

Local error

Found 4 expressions with local error:

26.8b
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
13.5b
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
13.0b
(* (* (/ d D) (/ d D)) (/ c0 h))
13.0b
(* (* (/ 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
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))
540.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
62.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
60.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

series724.0ms

Calls
4 calls:
Slowest
318.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
299.0ms
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
64.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
43.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

simplify20.5s

Calls
130 calls:
Slowest
681.0ms
(+ (* (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))))
650.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
584.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
538.0ms
(* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
493.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h)))

prune3.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.6b

localize9.0ms

Local error

Found 1 expressions with local error:

4.2b
(* (/ c0 (* w 2)) 0)

rewrite38.0ms

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
Calls
1 calls:
Slowest
37.0ms
(* (/ c0 (* w 2)) 0)

series3.0ms

Calls
1 calls:
Slowest
3.0ms
(* (/ c0 (* w 2)) 0)

simplify1.5s

Calls
20 calls:
Slowest
385.0ms
(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
324.0ms
(+ (- (log c0) (+ (log w) (log 2))) (log 0))
213.0ms
(+ (- (log c0) (log (* w 2))) (log 0))
165.0ms
(+ (log (/ c0 (* w 2))) (log 0))
129.0ms
(* (/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2))) (* (* 0 0) 0))

prune539.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 24.4b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune136.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.4b

localize45.0ms

Local error

Found 1 expressions with local error:

4.2b
(* (/ 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
Calls
1 calls:
Slowest
18.0ms
(* (/ c0 (* w 2)) 0)

series2.0ms

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

simplify1.7s

Calls
20 calls:
Slowest
624.0ms
(+ (- (log c0) (log (* w 2))) (log 0))
374.0ms
(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
238.0ms
(+ (- (log c0) (+ (log w) (log 2))) (log 0))
168.0ms
(+ (log (/ c0 (* w 2))) (log 0))
123.0ms
(* (/ (* (* c0 c0) c0) (* (* (* w w) w) (* (* 2 2) 2))) (* (* 0 0) 0))

prune778.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.4b

regimes2.0s

Accuracy

0.3% (7.9b remaining)

Error of 33.9b against oracle of 26.0b and baseline of 33.9b

bsearch1.1s

end0.0ms

sample20.2s

Algorithm
intervals
Results
5.3s2266×body5120valid
4.5s13252×body80nan
3.7s1706×body2560valid
1.9s6861×body80valid
1.6s546×body10240exit
1.6s882×body1280valid
513.0ms449×body640valid
152.0ms224×body320valid
62.0ms131×body160valid