Details

Time bar (total: 11.2s)

sample61.0ms

Algorithm
intervals
Results
42.0ms273×body80valid

simplify86.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize28.0ms

Local error

Found 2 expressions with local error:

24.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.3b
(- (* b c) (* a d))

rewrite28.0ms

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
20.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))

series181.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
67.0ms
(- (* b c) (* a d))

simplify1000.0ms

Counts
52 → 52

prune554.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.3b

localize29.0ms

Local error

Found 4 expressions with local error:

28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))
15.2b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.3b
(- (* b c) (* a d))

rewrite44.0ms

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
21.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
9.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))
6.0ms
(sqrt (+ (* c c) (* d d)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
45.0ms
(- (* b c) (* a d))
41.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))

simplify647.0ms

Counts
102 → 102

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.5b

localize34.0ms

Local error

Found 4 expressions with local error:

28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))
15.2b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.3b
(- (* b c) (* a d))

rewrite46.0ms

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
21.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
11.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))
6.0ms
(sqrt (+ (* c c) (* d d)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
51.0ms
(- (* b c) (* a d))
43.0ms
(sqrt (+ (* c c) (* d d)))
37.0ms
(sqrt (+ (* c c) (* d d)))

simplify843.0ms

Counts
102 → 102

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.5b

localize65.0ms

Local error

Found 4 expressions with local error:

28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))
8.4b
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×*-un-lft-identity add-cube-cbrt
27×times-frac
10×sqrt-div
9×associate-/r*
7×pow1
6×add-cbrt-cube add-exp-log
4×flip3-+ flip-+ insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip--
Counts
4 → 105
Calls
4 calls:
Slowest
26.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
8.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
196.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
51.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify720.0ms

Counts
117 → 117

prune1.5s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 22.5b

regimes604.0ms

Accuracy

0% (2.7b remaining)

Error of 25.3b against oracle of 22.7b and baseline of 25.3b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8465×body80valid