Details

Time bar (total: 11.9s)

sample50.0ms

Algorithm
intervals
Results
36.0ms273×body80valid

simplify115.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize40.0ms

Local error

Found 2 expressions with local error:

27.9b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
1.1b
(- (* b c) (* a d))

rewrite47.0ms

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
39.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))

series174.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
117.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
57.0ms
(- (* b c) (* a d))

simplify1.1s

Counts
52 → 52

prune934.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.4b

localize27.0ms

Local error

Found 4 expressions with local error:

31.5b
(sqrt (+ (* c c) (* d d)))
31.5b
(sqrt (+ (* c c) (* d d)))
17.5b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
1.1b
(- (* b c) (* a d))

rewrite56.0ms

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
36.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
7.0ms
(- (* b c) (* a d))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
54.0ms
(sqrt (+ (* c c) (* d d)))
49.0ms
(sqrt (+ (* c c) (* d d)))
48.0ms
(- (* b c) (* a d))

simplify923.0ms

Counts
102 → 102

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.3b

localize36.0ms

Local error

Found 4 expressions with local error:

31.5b
(sqrt (+ (* c c) (* d d)))
31.5b
(sqrt (+ (* c c) (* d d)))
17.6b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
1.1b
(- (* b c) (* a d))

rewrite87.0ms

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
62.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
11.0ms
(- (* b c) (* a d))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
60.0ms
(sqrt (+ (* c c) (* d d)))
59.0ms
(- (* b c) (* a d))
51.0ms
(sqrt (+ (* c c) (* d d)))

simplify1.3s

Counts
111 → 111

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.3b

localize26.0ms

Local error

Found 3 expressions with local error:

27.6b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
1.1b
(- (* b c) (* a d))
0.5b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))

rewrite64.0ms

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
34.0ms
(/ (+ (* 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))

series323.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
198.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
69.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
55.0ms
(- (* b c) (* a d))

simplify483.0ms

Counts
139 → 139

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.3b

regimes412.0ms

Accuracy

0% (2.5b remaining)

Error of 25.4b against oracle of 23.0b and baseline of 25.4b

bsearch3.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
783.0ms8485×body80valid