Details

Time bar (total: 10.5s)

sample64.0ms

Algorithm
intervals
Results
44.0ms273×body80valid

simplify95.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.6b
(- (* b c) (* a d))
27.5b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite25.0ms

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:
8.0ms
(- (* b c) (* a d))
16.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series199.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (* b c) (* a d))
133.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
done2001
32001
2717
1220
088

prune429.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* b c) (* a d))
16.2b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
30.6b
(sqrt (fma d d (* c c)))
30.6b
(sqrt (fma d d (* c c)))

rewrite38.0ms

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
(- (* b c) (* a d))
20.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
2.0ms
(sqrt (fma d d (* c c)))
3.0ms
(sqrt (fma d d (* c c)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b c) (* a d))
208.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
87.0ms
(sqrt (fma d d (* c c)))
52.0ms
(sqrt (fma d d (* c c)))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done2003
32003
2778
1266
0115

prune873.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* b c) (* a d))
16.2b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
30.6b
(sqrt (fma d d (* c c)))
30.6b
(sqrt (fma d d (* c c)))

rewrite49.0ms

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:
14.0ms
(- (* b c) (* a d))
30.0ms
(/ (- (* 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)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* b c) (* a d))
168.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
68.0ms
(sqrt (fma d d (* c c)))
72.0ms
(sqrt (fma d d (* c c)))

simplify1.0s

Counts
108 → 108
Iterations
IterNodes
done2003
32003
2778
1266
0115

prune808.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.7b

localize38.0ms

Local error

Found 3 expressions with local error:

0.6b
(- (* b c) (* a d))
0.8b
(/ 1 (fma d d (* c c)))
26.7b
(* (- (* b c) (* a d)) (/ 1 (fma d d (* c c))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
13×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp
3×expm1-log1p-u associate-/r* flip3-- associate-*l* insert-posit16 log1p-expm1-u flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 94
Calls
3 calls:
8.0ms
(- (* b c) (* a d))
8.0ms
(/ 1 (fma d d (* c c)))
32.0ms
(* (- (* b c) (* a d)) (/ 1 (fma d d (* c c))))

series257.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (* b c) (* a d))
76.0ms
(/ 1 (fma d d (* c c)))
120.0ms
(* (- (* b c) (* a d)) (/ 1 (fma d d (* c c))))

simplify1.0s

Counts
103 → 103
Iterations
IterNodes
done2001
32001
2965
1300
0128

prune491.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.7b

regimes356.0ms

Accuracy

0% (2.7b remaining)

Error of 25.8b against oracle of 23.1b and baseline of 25.8b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8485×body80valid