Details

Time bar (total: 11.1s)

sample30.0ms

Algorithm
intervals
Results
20.0ms265×body80valid

simplify78.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize30.0ms

Local error

Found 2 expressions with local error:

27.4b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.6b
(- (* b c) (* a d))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
2 → 46
Calls
2 calls:
Slowest
41.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
13.0ms
(- (* b c) (* a d))

series186.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
122.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
64.0ms
(- (* b c) (* a d))

simplify962.0ms

Counts
52 → 52

prune529.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 26.9b

localize33.0ms

Local error

Found 4 expressions with local error:

32.0b
(sqrt (+ (* c c) (* d d)))
32.0b
(sqrt (+ (* c c) (* d d)))
17.4b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.6b
(- (* b c) (* a d))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 associate-/r* add-cbrt-cube sqrt-div add-exp-log add-log-exp
4×insert-posit16
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
30.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
14.0ms
(- (* b c) (* a d))
13.0ms
(sqrt (+ (* c c) (* d d)))
11.0ms
(sqrt (+ (* c c) (* d d)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
60.0ms
(sqrt (+ (* c c) (* d d)))
45.0ms
(sqrt (+ (* c c) (* d d)))
44.0ms
(- (* b c) (* a d))

simplify1.0s

Counts
102 → 102

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 24.0b

localize33.0ms

Local error

Found 4 expressions with local error:

32.0b
(sqrt (+ (* c c) (* d d)))
32.0b
(sqrt (+ (* c c) (* d d)))
17.5b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
0.6b
(- (* b c) (* a d))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp insert-posit16
3×flip3-+ flip3-- associate-*l* flip-+ flip--
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv rec-exp sub-neg diff-log 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 99
Calls
4 calls:
Slowest
58.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
10.0ms
(sqrt (+ (* c c) (* d d)))
10.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(- (* b c) (* a d))

series242.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
48.0ms
(- (* b c) (* a d))
41.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify1.1s

Counts
111 → 111

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 24.0b

localize24.0ms

Local error

Found 3 expressions with local error:

26.6b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
1.0b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
0.6b
(- (* b c) (* a d))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- div-inv flip-- associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×insert-posit16
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×sub-neg flip3-+ diff-log flip-+ pow-flip inv-pow
Counts
3 → 130
Calls
3 calls:
Slowest
35.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
21.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
7.0ms
(- (* b c) (* a d))

series246.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
137.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
61.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
48.0ms
(- (* b c) (* a d))

simplify579.0ms

Counts
139 → 139

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 24.0b

regimes317.0ms

Accuracy

5.2% (2.4b remaining)

Error of 25.2b against oracle of 22.8b and baseline of 25.4b

bsearch71.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8458×body80valid