Details

Time bar (total: 14.3s)

sample44.0ms

Algorithm
intervals
Results
31.0ms272×body80valid

simplify84.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma d d (* c c))
0.2b
(- (* b c) (* a d))
22.6b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff fma-udef div-inv
Counts
3 → 61
Calls
3 calls:
0.0ms
(fma d d (* c c))
13.0ms
(- (* b c) (* a d))
28.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series234.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(fma d d (* c c))
72.0ms
(- (* b c) (* a d))
124.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify2.2s

Counts
70 → 70
Iterations
IterNodes
done5000
33413
2862
1233
098

prune402.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
11.8b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
28.6b
(sqrt (fma d d (* c c)))
28.6b
(sqrt (fma d d (* c c)))

rewrite39.0ms

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 add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 fma-udef hypot-def 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
4 → 96
Calls
4 calls:
16.0ms
(- (* b c) (* a d))
18.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* b c) (* a d))
183.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
79.0ms
(sqrt (fma d d (* c c)))
85.0ms
(sqrt (fma d d (* c c)))

simplify2.1s

Counts
108 → 108
Iterations
IterNodes
done5000
32196
2778
1266
0115

prune684.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 20.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
12.0b
(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
28.6b
(sqrt (fma d d (* c c)))
28.6b
(sqrt (fma d d (* c c)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
22×*-un-lft-identity times-frac associate-*r*
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×add-log-exp
5×unswap-sqr
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u
3×flip3-- associate-*l* flip--
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ cbrt-unprod fma-udef hypot-def
1×cbrt-undiv rec-exp sub-neg fma-neg diff-log 1-exp prod-diff pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 105
Calls
4 calls:
12.0ms
(- (* b c) (* a d))
44.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series732.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b c) (* a d))
172.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
49.0ms
(sqrt (fma d d (* c c)))
436.0ms
(sqrt (fma d d (* c c)))

simplify2.7s

Counts
117 → 117
Iterations
IterNodes
done5000
33040
2888
1336
0140

prune579.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 20.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c b) (* d a))
11.8b
(/ (- (* c b) (* d a)) (sqrt (fma d d (* c c))))
28.6b
(sqrt (fma d d (* c c)))
28.6b
(sqrt (fma d d (* c c)))

rewrite28.0ms

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 add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 fma-udef hypot-def 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
4 → 96
Calls
4 calls:
8.0ms
(- (* c b) (* d a))
17.0ms
(/ (- (* c b) (* d a)) (sqrt (fma d d (* c c))))
1.0ms
(sqrt (fma d d (* c c)))
1.0ms
(sqrt (fma d d (* c c)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (* c b) (* d a))
137.0ms
(/ (- (* c b) (* d a)) (sqrt (fma d d (* c c))))
60.0ms
(sqrt (fma d d (* c c)))
53.0ms
(sqrt (fma d d (* c c)))

simplify1.8s

Counts
108 → 108
Iterations
IterNodes
done5001
32154
2759
1270
0117

prune443.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 20.8b

regimes246.0ms

Accuracy

0% (2.4b remaining)

Error of 25.0b against oracle of 22.6b and baseline of 25.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
878.0ms8445×body80valid