Details

Time bar (total: 18.5s)

sample29.0ms

Algorithm
intervals
Results
21.0ms271×body80valid

simplify75.0ms

Calls
1 calls:
Slowest
75.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize22.0ms

Local error

Found 3 expressions with local error:

27.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.3b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite14.0ms

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
Calls
3 calls:
Slowest
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
2.0ms
(+ (* c c) (* d d))
2.0ms
(- (* b c) (* a d))

series94.0ms

Calls
3 calls:
Slowest
52.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
28.0ms
(- (* b c) (* a d))
14.0ms
(+ (* c c) (* d d))

simplify1.5s

Calls
41 calls:
Slowest
226.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
226.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
159.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
126.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
71.0ms
(/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d))))

prune490.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 26.7b

localize8.0ms

Local error

Found 4 expressions with local error:

30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(sqrt (+ (* c c) (* d d)))
16.5b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.3b
(- (* b c) (* a d))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×associate-/r* add-cbrt-cube sqrt-div add-exp-log add-log-exp
4×pow1 insert-posit16
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square 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
Calls
4 calls:
Slowest
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
2.0ms
(sqrt (+ (* c c) (* d d)))
2.0ms
(- (* b c) (* a d))
2.0ms
(sqrt (+ (* c c) (* d d)))

series135.0ms

Calls
4 calls:
Slowest
67.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
27.0ms
(- (* b c) (* a d))
22.0ms
(sqrt (+ (* c c) (* d d)))
18.0ms
(sqrt (+ (* c c) (* d d)))

simplify2.7s

Calls
76 calls:
Slowest
257.0ms
(/ (* (* (- (* 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)))))
227.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
225.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
156.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
136.0ms
(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune850.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 24.0b

localize10.0ms

Local error

Found 4 expressions with local error:

27.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
27.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
27.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
9.1b
(cbrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×cbrt-prod
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
8×associate-/r/
6×associate-/l/
4×pow1 flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp flip--
1×cbrt-div pow1/3
Calls
4 calls:
Slowest
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
3.0ms
(cbrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))

series303.0ms

Calls
4 calls:
Slowest
145.0ms
(cbrt (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
54.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
52.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
51.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify5.4s

Calls
118 calls:
Slowest
229.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
229.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
227.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
227.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
225.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 24.0b

localize9.0ms

Local error

Found 4 expressions with local error:

31.6b
(log (+ (* c c) (* d d)))
27.1b
(/ (- (* b c) (* a d)) (exp (log (+ (* c c) (* d d)))))
2.8b
(exp (log (+ (* c c) (* d d))))
0.3b
(- (* b c) (* a d))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×log-prod times-frac
15×exp-sum
6×pow1 log-div associate-/r* add-cbrt-cube add-exp-log add-log-exp
4×exp-prod exp-diff insert-posit16
3×flip3-+ flip-+ associate-/l*
2×flip3-- associate-/r/ log-pow flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp rem-log-exp div-inv rem-exp-log
Calls
4 calls:
Slowest
11.0ms
(/ (- (* b c) (* a d)) (exp (log (+ (* c c) (* d d)))))
3.0ms
(exp (log (+ (* c c) (* d d))))
2.0ms
(- (* b c) (* a d))
2.0ms
(log (+ (* c c) (* d d)))

series132.0ms

Calls
4 calls:
Slowest
52.0ms
(/ (- (* b c) (* a d)) (exp (log (+ (* c c) (* d d)))))
39.0ms
(log (+ (* c c) (* d d)))
26.0ms
(- (* b c) (* a d))
14.0ms
(exp (log (+ (* c c) (* d d))))

simplify3.2s

Calls
80 calls:
Slowest
388.0ms
(log (- (* (* c c) (* c c)) (* (* d d) (* d d))))
319.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (exp (log (+ (* c c) (* d d)))) (exp (log (+ (* c c) (* d d))))) (exp (log (+ (* c c) (* d d))))))
224.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
222.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
160.0ms
(exp (log (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))

prune799.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 24.0b

regimes324.0ms

Accuracy

0% (2.7b remaining)

Error of 25.3b against oracle of 22.6b and baseline of 25.3b

bsearch2.0ms

end0.0ms

sample931.0ms

Algorithm
intervals
Results
795.0ms8470×body80valid