Details

Time bar (total: 15.5s)

sample47.0ms

Algorithm
intervals
Results
24.0ms270×body80valid

simplify84.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma d d (* c c))
1.1b
(- (* b c) (* a d))
24.0b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite60.0ms

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))
18.0ms
(- (* b c) (* a d))
40.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series308.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(fma d d (* c c))
83.0ms
(- (* b c) (* a d))
171.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify2.4s

Counts
70 → 70
Iterations
IterNodes
done5000
33413
2862
1233
098

prune419.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.5b

localize51.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* b c) (* a d))
16.4b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
28.2b
(sqrt (fma d d (* c c)))
28.2b
(sqrt (fma d d (* c c)))

rewrite36.0ms

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:
10.0ms
(- (* b c) (* a d))
21.0ms
(/ (- (* 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)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* b c) (* a d))
157.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
55.0ms
(sqrt (fma d d (* c c)))
62.0ms
(sqrt (fma d d (* c c)))

simplify1.8s

Counts
108 → 108
Iterations
IterNodes
done5000
32196
2778
1266
0115

prune603.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.4b

localize39.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* b c) (* a d))
16.6b
(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
28.2b
(sqrt (fma d d (* c c)))
28.2b
(sqrt (fma d d (* c c)))

rewrite83.0ms

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:
9.0ms
(- (* b c) (* a d))
68.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* b c) (* a d))
148.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
52.0ms
(sqrt (fma d d (* c c)))
66.0ms
(sqrt (fma d d (* c c)))

simplify2.4s

Counts
117 → 117
Iterations
IterNodes
done5000
33040
2888
1336
0140

prune632.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.4b

localize37.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* b c) (* a d))
16.5b
(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
28.2b
(sqrt (fma d d (* c c)))
28.2b
(sqrt (fma d d (* c c)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 add-cbrt-cube add-exp-log associate-/l* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ fma-udef hypot-def flip--
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-exp prod-diff div-inv
Counts
4 → 95
Calls
4 calls:
17.0ms
(- (* b c) (* a d))
20.0ms
(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b c) (* a d))
136.0ms
(/ (sqrt (fma d d (* c c))) (- (* b c) (* a d)))
54.0ms
(sqrt (fma d d (* c c)))
63.0ms
(sqrt (fma d d (* c c)))

simplify3.3s

Counts
107 → 107
Iterations
IterNodes
done5000
44705
31591
2612
1229
0110

prune564.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.4b

regimes369.0ms

Accuracy

0% (2.4b remaining)

Error of 25.1b against oracle of 22.7b and baseline of 25.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8466×body80valid