Details

Time bar (total: 15.1s)

sample30.0ms

Algorithm
intervals
Results
13.0ms272×body80valid

simplify56.0ms

Counts
1 → 1
Iterations
IterNodes
done94
694
590
476
356
240
121
011

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* b c) (* a d))
23.2b
(/ (- (* b c) (* a d)) (fma d d (* c c)))

rewrite50.0ms

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-- 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 → 48
Calls
2 calls:
13.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (* b c) (* a d))
145.0ms
(/ (- (* b c) (* a d)) (fma d d (* c c)))

simplify2.3s

Counts
54 → 54
Iterations
IterNodes
done5000
33648
2798
1218
086

prune369.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.0b

localize47.0ms

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))))
14.8b
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
27.1b
(sqrt (fma d d (* c c)))
27.1b
(sqrt (fma d d (* c c)))

rewrite81.0ms

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 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 → 254
Calls
4 calls:
32.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
23.0ms
(/ (- (* 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)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (sqrt (fma d d (* c c))))
201.0ms
(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
76.0ms
(sqrt (fma d d (* c c)))
67.0ms
(sqrt (fma d d (* c c)))

simplify2.0s

Counts
266 → 266
Iterations
IterNodes
done5000
23353
1678
0273

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.3b

localize73.0ms

Local error

Found 4 expressions with local error:

27.1b
(sqrt (fma d d (* c c)))
27.1b
(sqrt (fma d d (* c c)))
27.1b
(sqrt (fma d d (* c c)))
27.1b
(sqrt (fma d d (* c c)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log fma-udef hypot-def log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))
2.0ms
(sqrt (fma d d (* c c)))
3.0ms
(sqrt (fma d d (* c c)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sqrt (fma d d (* c c)))
65.0ms
(sqrt (fma d d (* c c)))
85.0ms
(sqrt (fma d d (* c c)))
80.0ms
(sqrt (fma d d (* c c)))

simplify1.7s

Counts
76 → 76
Iterations
IterNodes
done5000
81004
7371
6191
5115
481
364
246
134
024

prune609.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* b c) (* a d))
0.6b
(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
22.8b
(/ (fma d d (* c c)) (- (* b c) (* a d)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- div-inv flip-- associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp clear-num frac-2neg 1-exp
1×sub-neg fma-neg diff-log prod-diff pow-flip inv-pow
Counts
3 → 133
Calls
3 calls:
8.0ms
(- (* b c) (* a d))
16.0ms
(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
14.0ms
(/ (fma d d (* c c)) (- (* b c) (* a d)))

series376.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (* b c) (* a d))
210.0ms
(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
104.0ms
(/ (fma d d (* c c)) (- (* b c) (* a d)))

simplify1.6s

Counts
142 → 142
Iterations
IterNodes
done5002
22505
1480
0194

prune899.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 13.6b

regimes428.0ms

Accuracy

0% (2.8b remaining)

Error of 17.0b against oracle of 14.2b and baseline of 17.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample1.5s

Algorithm
intervals
Results
995.0ms8438×body80valid