Details

Time bar (total: 20.6s)

sample29.0ms

Algorithm
intervals
Results
20.0ms273×body80valid

simplify93.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
93.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize22.0ms

Local error

Found 3 expressions with local error:

24.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.7b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite39.0ms

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)))
9.0ms
(+ (* c c) (* d d))
7.0ms
(- (* b c) (* a d))

series218.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
64.0ms
(- (* b c) (* a d))
30.0ms
(+ (* c c) (* d d))

simplify2.6s

Counts
41 → 67
Calls
41 calls:
Slowest
331.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
307.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
270.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
160.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
155.0ms
(/ (exp (* b c)) (exp (* a d)))

prune627.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.2b

localize34.0ms

Local error

Found 4 expressions with local error:

29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(sqrt (+ (* c c) (* d d)))
14.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.7b
(- (* b c) (* a d))

rewrite89.0ms

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
44.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
18.0ms
(sqrt (+ (* c c) (* d d)))
14.0ms
(- (* b c) (* a d))
11.0ms
(sqrt (+ (* c c) (* d d)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
161.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
69.0ms
(sqrt (+ (* c c) (* d d)))
58.0ms
(- (* b c) (* a d))
54.0ms
(sqrt (+ (* c c) (* d d)))

simplify4.5s

Counts
78 → 102
Calls
78 calls:
Slowest
387.0ms
(/ (* (* (- (* 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)))))
361.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
337.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
294.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
285.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 22.8b

localize39.0ms

Local error

Found 4 expressions with local error:

29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(sqrt (+ (* c c) (* d d)))
14.8b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
0.7b
(- (* b c) (* a d))

rewrite50.0ms

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)))
12.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(- (* b c) (* a d))
7.0ms
(sqrt (+ (* c c) (* d d)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
60.0ms
(- (* b c) (* a d))
58.0ms
(sqrt (+ (* c c) (* d d)))
51.0ms
(sqrt (+ (* c c) (* d d)))

simplify3.0s

Counts
77 → 101
Calls
77 calls:
Slowest
273.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
222.0ms
(/ (* (* (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))))
218.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
218.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
177.0ms
(+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.8b

localize27.0ms

Local error

Found 4 expressions with local error:

24.7b
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))
0.7b
(- (* b c) (* a d))
0.1b
(/ 1 (+ (* c c) (* d d)))
0.0b
(+ (* c c) (* d d))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
4×div-exp prod-exp associate-/r/ insert-posit16
3×associate-/r* flip3-+ flip3-- associate-*l* flip-+ flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 102
Calls
4 calls:
Slowest
38.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))
10.0ms
(/ 1 (+ (* c c) (* d d)))
8.0ms
(+ (* c c) (* d d))
7.0ms
(- (* b c) (* a d))

series201.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))
44.0ms
(- (* b c) (* a d))
39.0ms
(/ 1 (+ (* c c) (* d d)))
30.0ms
(+ (* c c) (* d d))

simplify4.0s

Counts
81 → 114
Calls
81 calls:
Slowest
527.0ms
(* (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* c c) (* d d)))) (/ 1 (+ (* c c) (* d d)))))
363.0ms
(/ (* (* 1 1) 1) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
222.0ms
(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) (/ 1 (+ (* c c) (* d d))))
218.0ms
(* (- (* (* b c) (* b c)) (* (* a d) (* a d))) 1)
214.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))

prune848.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 22.8b

regimes268.0ms

Accuracy

0% (2.7b remaining)

Error of 25.4b against oracle of 22.8b and baseline of 25.4b

bsearch2.0ms

end0.0ms

sample944.0ms

Algorithm
intervals
Results
724.0ms8456×body80valid