Details

Time bar (total: 23.5s)

sample49.0ms

Algorithm
intervals
Results
37.0ms269×body80valid

simplify114.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
114.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize38.0ms

Local error

Found 3 expressions with local error:

23.9b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.5b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
3×pow1 associate-/r* insert-posit16 associate-/l*
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
3 → 58
Calls
3 calls:
Slowest
48.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
15.0ms
(- (* b c) (* a d))
11.0ms
(+ (* c c) (* d d))

series205.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
106.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
50.0ms
(+ (* c c) (* d d))
49.0ms
(- (* b c) (* a d))

simplify2.7s

Counts
41 → 67
Calls
41 calls:
Slowest
392.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
350.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
280.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
219.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
145.0ms
(/ (exp (* b c)) (exp (* a d)))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.4b

localize24.0ms

Local error

Found 4 expressions with local error:

28.1b
(sqrt (+ (* c c) (* d d)))
28.1b
(sqrt (+ (* c c) (* d d)))
16.6b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.5b
(- (* b c) (* a d))

rewrite52.0ms

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
26.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
11.0ms
(- (* b c) (* a d))
7.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
72.0ms
(- (* b c) (* a d))
50.0ms
(sqrt (+ (* c c) (* d d)))
50.0ms
(sqrt (+ (* c c) (* d d)))

simplify5.1s

Counts
78 → 102
Calls
78 calls:
Slowest
414.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
398.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
366.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
325.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
316.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.3b

localize43.0ms

Local error

Found 4 expressions with local error:

28.1b
(sqrt (+ (* c c) (* d d)))
28.1b
(sqrt (+ (* c c) (* d d)))
16.6b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.5b
(- (* b c) (* a d))

rewrite55.0ms

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
26.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
15.0ms
(- (* b c) (* a d))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
66.0ms
(- (* b c) (* a d))
51.0ms
(sqrt (+ (* c c) (* d d)))
45.0ms
(sqrt (+ (* c c) (* d d)))

simplify4.9s

Counts
78 → 102
Calls
78 calls:
Slowest
455.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
398.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
368.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
338.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
336.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 20.3b

localize40.0ms

Local error

Found 4 expressions with local error:

28.1b
(sqrt (+ (* c c) (* d d)))
28.1b
(sqrt (+ (* c c) (* d d)))
28.1b
(sqrt (+ (* c c) (* d d)))
10.6b
(/ (* a d) (sqrt (+ (* c c) (* d d))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
14×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×sqrt-div
7×pow1
6×associate-/r* times-frac
4×flip3-+ flip-+ insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-undiv div-exp associate-/r/
1×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
Slowest
30.0ms
(/ (* a d) (sqrt (+ (* c c) (* d d))))
20.0ms
(sqrt (+ (* c c) (* d d)))
9.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(sqrt (+ (* c c) (* d d)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
75.0ms
(/ (* a d) (sqrt (+ (* c c) (* d d))))
55.0ms
(sqrt (+ (* c c) (* d d)))
43.0ms
(sqrt (+ (* c c) (* d d)))
42.0ms
(sqrt (+ (* c c) (* d d)))

simplify2.8s

Counts
57 → 90
Calls
57 calls:
Slowest
345.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
332.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
299.0ms
(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
292.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
276.0ms
(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.3b

regimes289.0ms

Accuracy

0% (1.9b remaining)

Error of 23.9b against oracle of 22.1b and baseline of 23.9b

bsearch7.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8470×body80valid