Details

Time bar (total: 25.9s)

sample58.0ms

Algorithm
intervals
Results
43.0ms270×body80valid

simplify116.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
115.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize25.0ms

Local error

Found 3 expressions with local error:

25.2b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.2b
(- (* b c) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite49.0ms

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
31.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
10.0ms
(+ (* c c) (* d d))
7.0ms
(- (* b c) (* a d))

series192.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
97.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
49.0ms
(- (* b c) (* a d))
46.0ms
(+ (* c c) (* d d))

simplify2.5s

Counts
41 → 67
Calls
41 calls:
Slowest
311.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
299.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
292.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
206.0ms
(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
159.0ms
(* (exp (* c c)) (exp (* d d)))

prune620.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.8b

localize26.0ms

Local error

Found 4 expressions with local error:

30.1b
(sqrt (+ (* c c) (* d d)))
30.1b
(sqrt (+ (* c c) (* d d)))
14.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.2b
(- (* b c) (* a d))

rewrite68.0ms

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
40.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
14.0ms
(- (* b c) (* a d))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
46.0ms
(- (* b c) (* a d))
46.0ms
(sqrt (+ (* c c) (* d d)))
45.0ms
(sqrt (+ (* c c) (* d d)))

simplify4.6s

Counts
78 → 102
Calls
78 calls:
Slowest
580.0ms
(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
331.0ms
(/ (* (* (- (* 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)))))
290.0ms
(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
284.0ms
(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
284.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.0b

localize27.0ms

Local error

Found 4 expressions with local error:

30.1b
(sqrt (+ (* c c) (* d d)))
30.1b
(sqrt (+ (* c c) (* d d)))
14.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.2b
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod insert-posit16 add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 165
Calls
4 calls:
Slowest
62.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))
38.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
132.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))
45.0ms
(sqrt (+ (* c c) (* d d)))
41.0ms
(sqrt (+ (* c c) (* d d)))

simplify10.1s

Counts
170 → 177
Calls
170 calls:
Slowest
282.0ms
(/ (* (* (- (* 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)))))
259.0ms
(- (* (* b c) (* b c)) (* (* a d) (* a d)))
243.0ms
(- (pow (* b c) 3) (pow (* a d) 3))
237.0ms
(* (/ (* (* 1 1) 1) (* (* (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))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
218.0ms
(/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.0b

localize22.0ms

Local error

Found 3 expressions with local error:

25.2b
(/ (- (* c b) (* a d)) (+ (* c c) (* d d)))
0.2b
(- (* c b) (* a d))
0.0b
(+ (* c c) (* d d))

rewrite36.0ms

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
21.0ms
(/ (- (* c b) (* a d)) (+ (* c c) (* d d)))
7.0ms
(- (* c b) (* a d))
7.0ms
(+ (* c c) (* d d))

series148.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(/ (- (* c b) (* a d)) (+ (* c c) (* d d)))
44.0ms
(- (* c b) (* a d))
28.0ms
(+ (* c c) (* d d))

simplify1.9s

Counts
41 → 67
Calls
41 calls:
Slowest
257.0ms
(- (* (* c b) (* c b)) (* (* a d) (* a d)))
247.0ms
(- (pow (* c b) 3) (pow (* a d) 3))
214.0ms
(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
126.0ms
(/ (* (* (- (* c b) (* a d)) (- (* c b) (* a d))) (- (* c b) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
112.0ms
(/ (exp (* c b)) (exp (* a d)))

prune483.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.0b

regimes257.0ms

Accuracy

0% (2.6b remaining)

Error of 25.8b against oracle of 23.2b and baseline of 25.8b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8462×body80valid