Details

Time bar (total: 59.9s)

sample872.0ms

Algorithm
intervals
Results
98.0ms57×body5120valid
98.0ms51×body2560valid
95.0ms415×body80nan
72.0ms247×body80valid
59.0ms36×body1280valid
24.0ms14×body10240exit
12.0ms12×body640valid
5.0ms7×body320valid
1.0ms2×body160valid

simplify969.0ms

Calls
1 calls:
Slowest
969.0ms
(* (/ 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)))))

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 48.5b

localize46.0ms

Local error

Found 4 expressions with local error:

24.3b
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
15.9b
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
10.9b
(* (/ c0 w) (* (/ d D) (/ d D)))
10.9b
(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-times
16×sqrt-div
14×pow1 add-cbrt-cube associate-*r/ add-exp-log
10×associate-*l/
8×*-un-lft-identity associate-*l* frac-add
7×flip3-+ flip-+
6×add-sqr-sqrt flip3-- pow-prod-down prod-exp add-cube-cbrt cbrt-unprod flip-- add-log-exp
4×insert-posit16
2×associate-*r* *-commutative div-inv
1×+-commutative sum-log pow1/2 sqrt-prod distribute-lft-out
Calls
4 calls:
Slowest
25.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
14.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
12.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
3.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

series1.9s

Calls
4 calls:
Slowest
914.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
726.0ms
(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
125.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
100.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify13.7s

Calls
73 calls:
Slowest
798.0ms
(+ (* (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)))))
691.0ms
(+ (* (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)))))
631.0ms
(+ (* (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)))))
522.0ms
(* (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)))
448.0ms
(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 44.2b

localize13.0ms

Local error

Found 4 expressions with local error:

13.6b
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
10.9b
(* (/ c0 w) (* (/ d D) (/ d D)))
6.9b
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
6.8b
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
16×frac-times pow1 add-cbrt-cube associate-*r/ add-exp-log
12×associate-*l*
10×associate-*l/
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod associate-/l/
6×associate-*r*
5×div-inv
4×insert-posit16 add-log-exp
3×*-commutative
1×clear-num frac-2neg associate-/l*
Calls
4 calls:
Slowest
24.0ms
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)
19.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))
18.0ms
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
18.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))

series695.0ms

Calls
4 calls:
Slowest
305.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
183.0ms
(* (/ (/ c0 w) h) (* (/ d D) (/ d D)))
114.0ms
(/ (* (/ c0 w) (* (/ d D) (/ d D))) h)
94.0ms
(* (/ c0 w) (* (/ d D) (/ d D)))

simplify9.0s

Calls
68 calls:
Slowest
581.0ms
(+ (log (/ (/ c0 w) h)) (log (* (/ d D) (/ d D))))
511.0ms
(* (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2) (/ c0 w))
468.0ms
(* (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (/ c0 w))
426.0ms
(* (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) c0)
365.0ms
(+ (log (/ (+ (* (/ (/ c0 w) h) (* (/ d D) (/ d D))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) 2)) (log (/ c0 w)))

prune1.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 37.1b

localize44.0ms

Local error

Found 4 expressions with local error:

7.8b
(/ (* (/ d D) c0) w)
7.8b
(/ (* (/ d D) c0) w)
7.8b
(/ (* (/ d D) c0) w)
7.8b
(/ (* (/ d D) c0) w)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 clear-num frac-2neg *-un-lft-identity add-cbrt-cube associate-*l/ add-exp-log add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp associate-/l/
Calls
4 calls:
Slowest
17.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)
11.0ms
(/ (* (/ d D) c0) w)

series188.0ms

Calls
4 calls:
Slowest
54.0ms
(/ (* (/ d D) c0) w)
50.0ms
(/ (* (/ d D) c0) w)
44.0ms
(/ (* (/ d D) c0) w)
40.0ms
(/ (* (/ d D) c0) w)

simplify592.0ms

Calls
20 calls:
Slowest
60.0ms
(/ (* c0 d) (* w D))
59.0ms
(/ (* c0 d) (* w D))
59.0ms
(/ (* c0 d) (* w D))
52.0ms
(/ (* c0 d) (* w D))
51.0ms
(/ (* c0 d) (* w D))

prune1.1s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 37.1b

localize55.0ms

Local error

Found 4 expressions with local error:

12.2b
(cbrt (/ (* (/ d D) c0) w))
12.2b
(cbrt (/ (* (/ d D) c0) w))
12.2b
(cbrt (/ (* (/ d D) c0) w))
7.8b
(/ (* (/ d D) c0) w)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3
1×clear-num frac-2neg associate-*l/ associate-/l* associate-/l/
Calls
4 calls:
Slowest
11.0ms
(/ (* (/ d D) c0) w)
2.0ms
(cbrt (/ (* (/ d D) c0) w))
2.0ms
(cbrt (/ (* (/ d D) c0) w))
2.0ms
(cbrt (/ (* (/ d D) c0) w))

series398.0ms

Calls
4 calls:
Slowest
126.0ms
(cbrt (/ (* (/ d D) c0) w))
122.0ms
(cbrt (/ (* (/ d D) c0) w))
110.0ms
(cbrt (/ (* (/ d D) c0) w))
40.0ms
(/ (* (/ d D) c0) w)

simplify2.7s

Calls
29 calls:
Slowest
353.0ms
(exp (* 1/3 (- (+ (log (/ 1 D)) (log (/ 1 w))) (+ (log (/ 1 d)) (log (/ 1 c0))))))
344.0ms
(exp (* 1/3 (- (+ (log (/ 1 D)) (log (/ 1 w))) (+ (log (/ 1 d)) (log (/ 1 c0))))))
270.0ms
(exp (* 1/3 (- (+ (log (/ 1 D)) (log (/ 1 w))) (+ (log (/ 1 d)) (log (/ 1 c0))))))
184.0ms
(exp (* 1/3 (- (+ (log c0) (log d)) (+ (log D) (log w)))))
175.0ms
(exp (* 1/3 (- (+ (log c0) (log d)) (+ (log D) (log w)))))

prune1.3s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 37.1b

regimes2.6s

Accuracy

0% (6.4b remaining)

Error of 47.1b against oracle of 40.7b and baseline of 47.1b

bsearch4.0ms

end0.0ms

sample19.8s

Algorithm
intervals
Results
5.5s2261×body5120valid
4.3s12913×body80nan
3.1s1758×body2560valid
2.4s6744×body80valid
1.6s565×body10240exit
1.3s934×body1280valid
445.0ms435×body640valid
167.0ms221×body320valid
79.0ms123×body160valid