Details

Time bar (total: 16.9s)

sample35.0ms

Algorithm
intervals
Results
23.0ms280×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done21
221
117
011

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma d d (* c c))
5.0ms
(/ (fma a c (* b d)) (fma d d (* c c)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(fma d d (* c c))
94.0ms
(/ (fma a c (* b d)) (fma d d (* c c)))

simplify3.5s

Counts
47 → 47
Iterations
IterNodes
done5000
44758
3980
2280
1110
069

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 24.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
15.0b
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
28.4b
(sqrt (fma d d (* c c)))
28.4b
(sqrt (fma d d (* c c)))

rewrite46.0ms

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
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 fma-udef hypot-def
1×associate-/l/
Counts
4 → 254
Calls
4 calls:
27.0ms
(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
7.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
1.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
159.0ms
(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
73.0ms
(sqrt (fma d d (* c c)))
64.0ms
(sqrt (fma d d (* c c)))

simplify2.8s

Counts
266 → 266
Iterations
IterNodes
done5064
34078
21154
1547
0262

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (hypot d c) (fma b d (* c a))) (hypot d c))
0.5b
(fma b d (* c a))
0.7b
(/ 1 (* (/ (hypot d c) (fma b d (* c a))) (hypot d c)))
15.1b
(/ (hypot d c) (fma b d (* c a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
27×add-sqr-sqrt
22×*-un-lft-identity times-frac add-cube-cbrt
20×add-cbrt-cube
13×associate-*l*
11×div-exp
9×pow1
8×prod-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u associate-/r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-*r* div-inv
2×clear-num frac-2neg pow-prod-down associate-*l/ pow-flip unswap-sqr
1×associate-/r/ *-commutative fma-udef inv-pow
Counts
4 → 112
Calls
4 calls:
14.0ms
(* (/ (hypot d c) (fma b d (* c a))) (hypot d c))
0.0ms
(fma b d (* c a))
15.0ms
(/ 1 (* (/ (hypot d c) (fma b d (* c a))) (hypot d c)))
5.0ms
(/ (hypot d c) (fma b d (* c a)))

series566.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (/ (hypot d c) (fma b d (* c a))) (hypot d c))
45.0ms
(fma b d (* c a))
245.0ms
(/ 1 (* (/ (hypot d c) (fma b d (* c a))) (hypot d c)))
153.0ms
(/ (hypot d c) (fma b d (* c a)))

simplify2.4s

Counts
124 → 124
Iterations
IterNodes
done5009
33102
21010
1310
0137

prune519.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot d c)
0.0b
(hypot d c)
0.1b
(/ (/ (fma c a (* b d)) (hypot d c)) (hypot d c))
15.0b
(/ (fma c a (* b d)) (hypot d c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
6×associate-/r* div-inv
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×hypot-udef clear-num frac-2neg
1×associate-/l/
Counts
4 → 125
Calls
4 calls:
0.0ms
(hypot d c)
0.0ms
(hypot d c)
16.0ms
(/ (/ (fma c a (* b d)) (hypot d c)) (hypot d c))
9.0ms
(/ (fma c a (* b d)) (hypot d c))

series376.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(hypot d c)
51.0ms
(hypot d c)
132.0ms
(/ (/ (fma c a (* b d)) (hypot d c)) (hypot d c))
136.0ms
(/ (fma c a (* b d)) (hypot d c))

simplify1.8s

Counts
137 → 137
Iterations
IterNodes
done5591
33233
2879
1338
0164

prune544.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.3b

regimes241.0ms

Accuracy

33.4% (6.8b remaining)

Error of 12.5b against oracle of 5.7b and baseline of 16.0b

bsearch70.0ms

Steps
ItersRangePoint
7
4.048842843541669e+202
5.561071419116658e+204
5.890254338149143e+202
6
-6.414193468228168e+120
-8.625126742119082e+119
-5.593465816654883e+120

simplify3.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8478×body80valid