Details

Time bar (total: 56.1s)

sample546.0ms

Algorithm
intervals
Results
141.0ms71×body5120valid
125.0ms413×body80nan
78.0ms56×body2560valid
75.0ms231×body80valid
30.0ms26×body1280valid
27.0ms15×body10240exit
8.0ms10×body320valid
6.0ms7×body640valid
2.0ms4×body160valid

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)))))

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 49.2b

localize67.0ms

Local error

Found 4 expressions with local error:

25.6b
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
12.3b
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
11.0b
(* (* (/ d D) (/ d D)) (/ c0 h))
11.0b
(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.1s

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))
382.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
32.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
30.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

series698.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
270.0ms
(sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M)))
68.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))
55.0ms
(* (* (/ d D) (/ d D)) (/ c0 h))

simplify21.1s

Counts
130 → 167
Calls
130 calls:
Slowest
684.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
673.0ms
(* (* (* (* (/ d D) (/ d D)) (/ d D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
666.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
592.0ms
(+ (* (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))))
586.0ms
(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))

prune3.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 26.5b

localize18.0ms

Local error

Found 1 expressions with local error:

4.4b
(* (/ c0 (* w 2)) 0)

rewrite37.0ms

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
36.0ms
(* (/ c0 (* w 2)) 0)

series3.0ms

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

simplify1.4s

Counts
20 → 34
Calls
20 calls:
Slowest
366.0ms
(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
285.0ms
(+ (- (log c0) (+ (log w) (log 2))) (log 0))
210.0ms
(+ (- (log c0) (log (* w 2))) (log 0))
191.0ms
(+ (log (/ c0 (* w 2))) (log 0))
102.0ms
(* (/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2))) (* (* 0 0) 0))

prune466.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 24.7b

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

prune134.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.7b

localize25.0ms

Local error

Found 1 expressions with local error:

4.4b
(* (/ c0 (* w 2)) 0)

rewrite22.0ms

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
22.0ms
(* (/ c0 (* w 2)) 0)

series2.0ms

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

simplify1.6s

Counts
20 → 34
Calls
20 calls:
Slowest
342.0ms
(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
318.0ms
(+ (- (log c0) (+ (log w) (log 2))) (log 0))
271.0ms
(+ (- (log c0) (log (* w 2))) (log 0))
204.0ms
(+ (log (/ c0 (* w 2))) (log 0))
134.0ms
(* (/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2))) (* (* 0 0) 0))

prune814.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 24.7b

regimes2.3s

Accuracy

26.1% (5.4b remaining)

Error of 32.1b against oracle of 26.7b and baseline of 34.0b

bsearch12.0ms

end0.0ms

sample20.5s

Algorithm
intervals
Results
5.1s2224×body5120valid
3.8s12974×body80nan
3.5s1791×body2560valid
2.0s6803×body80valid
1.6s907×body1280valid
1.2s591×body10240exit
898.0ms437×body640valid
620.0ms257×body320valid
487.0ms122×body160valid