Details

Time bar (total: 14.1s)

sample36.0ms

Algorithm
intervals
Results
17.0ms268×body80valid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01115
12114
24014
35614
47614
58814
69214
done9214

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma c c (* d d))
1.4b
(- (* b c) (* a d))
24.9b
(/ (- (* b c) (* a d)) (fma c c (* d d)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num fma-udef div-inv
Counts
3 → 58
Calls
3 calls:
0.0ms
(fma c c (* d d))
15.0ms
(- (* b c) (* a d))
21.0ms
(/ (- (* b c) (* a d)) (fma c c (* d d)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma c c (* d d))
50.0ms
(- (* b c) (* a d))
129.0ms
(/ (- (* b c) (* a d)) (fma c c (* d d)))

simplify3.0s

Counts
67 → 67
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0961039
12261011
2762892
32648892
done5001886

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 16.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1 (hypot d c)) (/ (- (* b c) (* a d)) (hypot d c)))
1.4b
(- (* b c) (* a d))
15.6b
(/ (- (* b c) (* a d)) (hypot d c))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×times-frac
27×add-exp-log *-un-lft-identity
25×add-cube-cbrt
17×add-cbrt-cube
13×associate-*r* associate-*l*
9×div-exp
8×prod-exp
6×unswap-sqr
5×pow1 cbrt-undiv add-log-exp
4×cbrt-unprod
3×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l*
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×frac-times sub-neg frac-2neg fma-neg diff-log div-sub associate-*r/ prod-diff pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 106
Calls
3 calls:
45.0ms
(* (/ 1 (hypot d c)) (/ (- (* b c) (* a d)) (hypot d c)))
15.0ms
(- (* b c) (* a d))
26.0ms
(/ (- (* b c) (* a d)) (hypot d c))

series418.0ms

Counts
3 → 9
Calls
3 calls:
228.0ms
(* (/ 1 (hypot d c)) (/ (- (* b c) (* a d)) (hypot d c)))
44.0ms
(- (* b c) (* a d))
146.0ms
(/ (- (* b c) (* a d)) (hypot d c))

simplify2.1s

Counts
115 → 115
Iterations

Useful iterations: 2 (256.0ms)

IterNodesCost
01632165
14452018
215081765
done50001765

prune460.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (- (* b c) (* a d)) (hypot d c)) (hypot d c))
1.4b
(- (* b c) (* a d))
15.6b
(/ (- (* b c) (* a d)) (hypot d c))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
10×add-exp-log add-cbrt-cube
6×associate-/r* div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg fma-neg diff-log prod-diff
Counts
3 → 121
Calls
3 calls:
40.0ms
(/ (/ (- (* b c) (* a d)) (hypot d c)) (hypot d c))
14.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (hypot d c))

series374.0ms

Counts
3 → 9
Calls
3 calls:
169.0ms
(/ (/ (- (* b c) (* a d)) (hypot d c)) (hypot d c))
53.0ms
(- (* b c) (* a d))
152.0ms
(/ (- (* b c) (* a d)) (hypot d c))

simplify2.2s

Counts
130 → 130
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01862814
14432738
212362548
344592493
done50002488

prune417.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ c (hypot d c)) b) (/ a (/ (hypot d c) d)))
0.1b
(/ (- (* (/ c (hypot d c)) b) (/ a (/ (hypot d c) d))) (hypot d c))
1.0b
(* (/ c (hypot d c)) b)
2.7b
(/ a (/ (hypot d c) d))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
160×times-frac
102×add-sqr-sqrt
97×add-cube-cbrt *-un-lft-identity
44×prod-diff
16×add-exp-log associate-/r* add-cbrt-cube
13×associate-*l*
11×div-inv
6×pow1 associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l/ associate-/l/
2×flip3-- frac-2neg prod-exp clear-num associate-/r/ frac-sub flip-- cbrt-unprod unswap-sqr
1×sub-neg fma-neg diff-log div-sub pow-prod-down *-commutative
Counts
4 → 199
Calls
4 calls:
26.0ms
(- (* (/ c (hypot d c)) b) (/ a (/ (hypot d c) d)))
68.0ms
(/ (- (* (/ c (hypot d c)) b) (/ a (/ (hypot d c) d))) (hypot d c))
20.0ms
(* (/ c (hypot d c)) b)
10.0ms
(/ a (/ (hypot d c) d))

series741.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(- (* (/ c (hypot d c)) b) (/ a (/ (hypot d c) d)))
344.0ms
(/ (- (* (/ c (hypot d c)) b) (/ a (/ (hypot d c) d))) (hypot d c))
109.0ms
(* (/ c (hypot d c)) b)
104.0ms
(/ a (/ (hypot d c) d))

simplify1.7s

Counts
211 → 211
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04935839
112625457
246264559
done50004551

prune674.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01321
11619
done1619

end0.0ms

sample864.0ms

Algorithm
intervals
Results
431.0ms8530×body80valid