Details

Time bar (total: 10.4s)

sample36.0ms

Algorithm
intervals
Results
25.0ms272×body80valid

simplify55.0ms

Counts
1 → 1
Iterations
IterNodes
done80
580
476
356
240
121
011

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* b c) (* a d))
25.8b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
2 → 50
Calls
2 calls:
10.0ms
(- (* b c) (* a d))
26.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* b c) (* a d))
129.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify885.0ms

Counts
56 → 56
Iterations
IterNodes
done2001
32001
2717
1220
088

prune255.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
17.0b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
28.9b
(sqrt (fma d d (* c c)))
28.9b
(sqrt (fma d d (* c c)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 fma-udef hypot-def
1×flip3-- flip--
Counts
4 → 258
Calls
4 calls:
30.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
26.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
124.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
49.0ms
(sqrt (fma d d (* c c)))
54.0ms
(sqrt (fma d d (* c c)))

simplify1.2s

Counts
270 → 270
Iterations
IterNodes
done2001
32001
21647
1650
0276

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (* a d))
0.1b
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (hypot d c))
17.0b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
28.9b
(sqrt (fma d d (* c c)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
96×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
51×sqrt-prod
25×associate-/l*
11×add-cbrt-cube add-exp-log
9×associate-/r*
6×div-inv add-log-exp
5×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×div-sub associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff fma-udef hypot-def
Counts
4 → 189
Calls
4 calls:
15.0ms
(- (* b c) (* a d))
16.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (hypot d c))
24.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.0ms
(sqrt (fma d d (* c c)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b c) (* a d))
173.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (hypot d c))
129.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
59.0ms
(sqrt (fma d d (* c c)))

simplify1.1s

Counts
201 → 201
Iterations
IterNodes
done2000
32000
21669
1617
0257

prune945.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* b c) (* a d))
0.1b
(/ (/ (- (* b c) (* a d)) (hypot d c)) (hypot d c))
17.0b
(/ (- (* b c) (* a d)) (hypot d c))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
10×add-cbrt-cube add-exp-log
6×associate-/r* div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×sub-neg fma-neg diff-log prod-diff
Counts
3 → 124
Calls
3 calls:
8.0ms
(- (* b c) (* a d))
18.0ms
(/ (/ (- (* b c) (* a d)) (hypot d c)) (hypot d c))
16.0ms
(/ (- (* b c) (* a d)) (hypot d c))

series296.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (* b c) (* a d))
122.0ms
(/ (/ (- (* b c) (* a d)) (hypot d c)) (hypot d c))
125.0ms
(/ (- (* b c) (* a d)) (hypot d c))

simplify847.0ms

Counts
133 → 133
Iterations
IterNodes
done2011
32011
21447
1455
0188

prune460.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.0b

regimes253.0ms

Accuracy

28.9% (8.3b remaining)

Error of 12.9b against oracle of 4.6b and baseline of 16.3b

bsearch74.0ms

Steps
ItersRangePoint
5
5.663550593095797e+70
1.724215452445465e+71
1.6977188157374524e+71
8
-4.338084560140099e+152
-1.8865218807559974e+148
-1.0127401874663891e+151

simplify3.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8470×body80valid