Details

Time bar (total: 37.3s)

sample64.0ms

Algorithm
intervals
Results
46.0ms265×body80valid

simplify137.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
137.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize20.0ms

Local error

Found 3 expressions with local error:

25.4b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.5b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite71.0ms

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
39.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
21.0ms
(- (* b c) (* a d))
11.0ms
(+ (* c c) (* d d))

series216.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
126.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
55.0ms
(- (* b c) (* a d))
35.0ms
(+ (* c c) (* d d))

simplify7.1s

Counts
81 → 67
Calls
81 calls:
Slowest
496.0ms
(* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))
411.0ms
(* (* (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))
365.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
342.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
316.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))

prune770.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.0b

localize32.0ms

Local error

Found 4 expressions with local error:

27.5b
(sqrt (+ (* c c) (* d d)))
27.5b
(sqrt (+ (* c c) (* d d)))
17.1b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.5b
(- (* b c) (* a d))

rewrite65.0ms

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
30.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
15.0ms
(- (* b c) (* a d))
12.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
67.0ms
(- (* b c) (* a d))
67.0ms
(sqrt (+ (* c c) (* d d)))
51.0ms
(sqrt (+ (* c c) (* d d)))

simplify9.4s

Counts
130 → 102
Calls
130 calls:
Slowest
501.0ms
(exp (- (* b c) (* a d)))
441.0ms
(/ (* (* (- (* 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)))))
370.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
367.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
360.0ms
(* (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.8b

localize41.0ms

Local error

Found 4 expressions with local error:

27.5b
(sqrt (+ (* c c) (* d d)))
27.5b
(sqrt (+ (* c c) (* d d)))
27.5b
(sqrt (+ (* c c) (* d d)))
11.3b
(/ (* b c) (sqrt (+ (* c c) (* d d))))

rewrite52.0ms

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
20.0ms
(/ (* b c) (sqrt (+ (* c c) (* d d))))
13.0ms
(sqrt (+ (* c c) (* d d)))
11.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(/ (* b c) (sqrt (+ (* c c) (* d d))))
57.0ms
(sqrt (+ (* c c) (* d d)))
46.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify5.5s

Counts
106 → 90
Calls
106 calls:
Slowest
354.0ms
(/ (* b c) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
344.0ms
(* (* (/ (* b c) (sqrt (+ (* c c) (* d d)))) (/ (* b c) (sqrt (+ (* c c) (* d d))))) (/ (* b c) (sqrt (+ (* c c) (* d d)))))
334.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
325.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
315.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.8b

localize23.0ms

Local error

Found 4 expressions with local error:

18.3b
(/ (* b c) (+ (* c c) (* d d)))
17.7b
(/ (* a d) (+ (* c c) (* d d)))
0.0b
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
0.0b
(+ (* c c) (* d d))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt *-un-lft-identity
8×associate-/r/ add-cube-cbrt add-log-exp
6×associate-/r* times-frac
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp insert-posit16 div-inv
3×distribute-rgt-out--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
4 → 80
Calls
4 calls:
Slowest
82.0ms
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
19.0ms
(/ (* a d) (+ (* c c) (* d d)))
15.0ms
(/ (* b c) (+ (* c c) (* d d)))
14.0ms
(+ (* c c) (* d d))

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
57.0ms
(/ (* b c) (+ (* c c) (* d d)))
54.0ms
(/ (* a d) (+ (* c c) (* d d)))
29.0ms
(+ (* c c) (* d d))

simplify7.8s

Counts
105 → 92
Calls
105 calls:
Slowest
381.0ms
(+ (* (/ (* b c) (+ (* c c) (* d d))) (/ (* b c) (+ (* c c) (* d d)))) (+ (* (/ (* a d) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d)))) (* (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))))
323.0ms
(* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))
287.0ms
(* (* (/ (* a d) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d)))) (/ (* a d) (+ (* c c) (* d d))))
286.0ms
(- (/ (* b c) (+ (pow (* c c) 3) (pow (* d d) 3))) (/ (* a d) (+ (pow (* c c) 3) (pow (* d d) 3))))
275.0ms
(- (* (/ (* b c) (+ (* c c) (* d d))) (/ (* b c) (+ (* c c) (* d d)))) (* (/ (* a d) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d)))))

prune707.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.3b

regimes402.0ms

Accuracy

0% (2.1b remaining)

Error of 24.5b against oracle of 22.4b and baseline of 24.5b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8453×body80valid