Details

Time bar (total: 11.0s)

sample67.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
16.0ms240×body80nan

simplify51.0ms

Counts
1 → 1
Iterations
IterNodes
done70
570
469
364
244
122
011

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize11.0ms

Local error

Found 2 expressions with local error:

1.0b
(fma (+ x y) z (* y x))
16.6b
(sqrt (fma (+ x y) z (* y x)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
2×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
2 → 25
Calls
2 calls:
0.0ms
(fma (+ x y) z (* y x))
1.0ms
(sqrt (fma (+ x y) z (* y x)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(fma (+ x y) z (* y x))
140.0ms
(sqrt (fma (+ x y) z (* y x)))

simplify814.0ms

Counts
31 → 31
Iterations
IterNodes
done5002
31223
2247
1105
051

prune227.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 17.5b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma z (+ x y) (* y x))
16.6b
(sqrt (fma z (+ x y) (* y x)))
16.6b
(sqrt (fma z (+ x y) (* y x)))
16.6b
(sqrt (* (sqrt (fma z (+ x y) (* y x))) (sqrt (fma z (+ x y) (* y x)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-pow1
22×pow1
11×pow1/2
8×add-sqr-sqrt
7×sqrt-prod
6×*-un-lft-identity add-cube-cbrt
5×pow-prod-up
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×rem-sqrt-square pow-prod-down pow-sqr
1×pow2 pow-plus fma-udef
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma z (+ x y) (* y x))
1.0ms
(sqrt (fma z (+ x y) (* y x)))
1.0ms
(sqrt (fma z (+ x y) (* y x)))
7.0ms
(sqrt (* (sqrt (fma z (+ x y) (* y x))) (sqrt (fma z (+ x y) (* y x)))))

series554.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma z (+ x y) (* y x))
171.0ms
(sqrt (fma z (+ x y) (* y x)))
156.0ms
(sqrt (fma z (+ x y) (* y x)))
195.0ms
(sqrt (* (sqrt (fma z (+ x y) (* y x))) (sqrt (fma z (+ x y) (* y x)))))

simplify1.0s

Counts
78 → 78
Iterations
IterNodes
done5001
31830
2351
1165
083

prune559.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 17.5b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma z (+ x y) (* y x))
1.0b
(fma z (+ x y) (* y x))
16.6b
(sqrt (fma z (+ x y) (* y x)))
16.6b
(sqrt (fma z (+ x y) (* y x)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 50
Calls
4 calls:
0.0ms
(fma z (+ x y) (* y x))
0.0ms
(fma z (+ x y) (* y x))
1.0ms
(sqrt (fma z (+ x y) (* y x)))
1.0ms
(sqrt (fma z (+ x y) (* y x)))

series425.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma z (+ x y) (* y x))
40.0ms
(fma z (+ x y) (* y x))
157.0ms
(sqrt (fma z (+ x y) (* y x)))
189.0ms
(sqrt (fma z (+ x y) (* y x)))

simplify946.0ms

Counts
62 → 62
Iterations
IterNodes
done5000
31440
2269
1114
053

prune558.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 17.5b

localize38.0ms

Local error

Found 4 expressions with local error:

16.6b
(sqrt (* (* (cbrt (fma x (+ y z) (* y z))) (cbrt (fma x (+ y z) (* y z)))) (cbrt (fma x (+ y z) (* y z)))))
17.1b
(cbrt (fma x (+ y z) (* y z)))
17.1b
(cbrt (fma x (+ y z) (* y z)))
17.1b
(cbrt (fma x (+ y z) (* y z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
15×sqrt-pow1
12×pow1/3
9×cbrt-prod pow-prod-up
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus
5×pow-prod-down
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 65
Calls
4 calls:
34.0ms
(sqrt (* (* (cbrt (fma x (+ y z) (* y z))) (cbrt (fma x (+ y z) (* y z)))) (cbrt (fma x (+ y z) (* y z)))))
1.0ms
(cbrt (fma x (+ y z) (* y z)))
1.0ms
(cbrt (fma x (+ y z) (* y z)))
1.0ms
(cbrt (fma x (+ y z) (* y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
168.0ms
(sqrt (* (* (cbrt (fma x (+ y z) (* y z))) (cbrt (fma x (+ y z) (* y z)))) (cbrt (fma x (+ y z) (* y z)))))
294.0ms
(cbrt (fma x (+ y z) (* y z)))
297.0ms
(cbrt (fma x (+ y z) (* y z)))
332.0ms
(cbrt (fma x (+ y z) (* y z)))

simplify918.0ms

Counts
77 → 77
Iterations
IterNodes
done5001
31380
2390
1186
089

prune709.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 17.5b

regimes272.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.6b and baseline of 19.6b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s8000×body80valid
626.0ms7924×body80nan