Details

Time bar (total: 9.4s)

sample46.0ms

Algorithm
intervals
Results
22.0ms259×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11915
23615
34815
46615
57215
done7215

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* b c) (* a d))
25.3b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
8.0ms
(- (* b c) (* a d))
37.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series182.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* b c) (* a d))
131.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify743.0ms

Counts
50 → 50
Iterations

Useful iterations: done (741.0ms)

IterNodesCost
088954
1258936
21076856
done5000854

prune187.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 25.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* b c) (* a d))
15.2b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
11.0ms
(- (* b c) (* a d))
40.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
16.0ms
(sqrt (+ (* c c) (* d d)))
11.0ms
(sqrt (+ (* c c) (* d d)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* b c) (* a d))
163.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
46.0ms
(sqrt (+ (* c c) (* d d)))
44.0ms
(sqrt (+ (* c c) (* d d)))

simplify711.0ms

Counts
98 → 98
Iterations

Useful iterations: done (708.0ms)

IterNodesCost
01201814
13121682
211891576
done50001574

prune356.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.4b

localize34.0ms

Local error

Found 4 expressions with local error:

10.6b
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
27×times-frac
10×sqrt-div
9×associate-/r*
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 101
Calls
4 calls:
41.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
9.0ms
(sqrt (+ (* c c) (* d d)))
10.0ms
(sqrt (+ (* c c) (* d d)))
17.0ms
(sqrt (+ (* c c) (* d d)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
52.0ms
(sqrt (+ (* c c) (* d d)))
43.0ms
(sqrt (+ (* c c) (* d d)))
50.0ms
(sqrt (+ (* c c) (* d d)))

simplify1.9s

Counts
113 → 113
Iterations

Useful iterations: 3 (743.0ms)

IterNodesCost
01442355
13392146
211812030
348372006
done50022006

prune467.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.4b

localize20.0ms

Local error

Found 4 expressions with local error:

10.6b
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
27×times-frac
10×sqrt-div
9×associate-/r*
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 101
Calls
4 calls:
51.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
18.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))
9.0ms
(sqrt (+ (* c c) (* d d)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
51.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))
47.0ms
(sqrt (+ (* c c) (* d d)))

simplify1.8s

Counts
113 → 113
Iterations

Useful iterations: 3 (801.0ms)

IterNodesCost
01442355
13392146
211812030
348372006
done50022006

prune393.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 22.4b

regimes135.0ms

Accuracy

0% (2.7b remaining)

Error of 25.6b against oracle of 22.9b and baseline of 25.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
11625
done1625

end0.0ms

sample866.0ms

Algorithm
intervals
Results
532.0ms8444×body80valid