Details

Time bar (total: 23.0s)

sample60.0ms

Algorithm
intervals
Results
43.0ms269×body80valid

simplify131.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
131.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize27.0ms

Local error

Found 3 expressions with local error:

26.0b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.8b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite41.0ms

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
22.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
11.0ms
(- (* b c) (* a d))
7.0ms
(+ (* c c) (* d d))

series187.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
107.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
44.0ms
(- (* b c) (* a d))
37.0ms
(+ (* c c) (* d d))

simplify2.2s

Counts
41 → 67
Calls
41 calls:
Slowest
337.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
306.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
268.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
159.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
124.0ms
(* (exp (* c c)) (exp (* d d)))

prune679.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.7b

localize28.0ms

Local error

Found 4 expressions with local error:

30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))
14.4b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.8b
(- (* 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
24.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
21.0ms
(- (* b c) (* a d))
11.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
155.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
54.0ms
(- (* b c) (* a d))
53.0ms
(sqrt (+ (* c c) (* d d)))
47.0ms
(sqrt (+ (* c c) (* d d)))

simplify4.4s

Counts
78 → 102
Calls
78 calls:
Slowest
609.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
364.0ms
(/ (* (* (- (* 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)))))
302.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
285.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
278.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 22.8b

localize38.0ms

Local error

Found 4 expressions with local error:

30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))
14.5b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
0.8b
(- (* b c) (* a d))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp insert-posit16
3×flip3-+ flip3-- associate-*l* flip-+ flip--
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv rec-exp sub-neg diff-log 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 99
Calls
4 calls:
Slowest
50.0ms
(* (- (* b c) (* a d)) (/ 1 (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)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
155.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
60.0ms
(sqrt (+ (* c c) (* d d)))
53.0ms
(- (* b c) (* a d))
41.0ms
(sqrt (+ (* c c) (* d d)))

simplify5.1s

Counts
78 → 111
Calls
78 calls:
Slowest
650.0ms
(* (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))
289.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
275.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
269.0ms
(* (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))) (sqrt (+ (* c c) (* d d))))
258.0ms
(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) (/ 1 (sqrt (+ (* c c) (* d d)))))

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.8b

localize34.0ms

Local error

Found 4 expressions with local error:

30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))
14.4b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
0.8b
(- (* b c) (* a d))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 add-cbrt-cube sqrt-div add-exp-log associate-/l* add-log-exp
4×insert-posit16
3×associate-/r* flip3-+ flip-+
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-exp div-inv
Counts
4 → 89
Calls
4 calls:
Slowest
19.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
14.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))

series264.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
73.0ms
(- (* b c) (* a d))
53.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))

simplify3.7s

Counts
77 → 101
Calls
77 calls:
Slowest
318.0ms
(/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))))
306.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
305.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
274.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
230.0ms
(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.8b

regimes465.0ms

Accuracy

0% (2.6b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 25.5b

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
937.0ms8477×body80valid