Details

Time bar (total: 8.0s)

sample29.0ms

Algorithm
intervals
Results
11.0ms385×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01111
11910
2349
3439
done439

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma a b (fma x y (* z t)))
0.0b
(fma x y (* z t))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma a b (fma x y (* z t)))
0.0ms
(fma x y (* z t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(fma a b (fma x y (* z t)))
38.0ms
(fma x y (* z t))

simplify591.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
034248
147242
2103212
3334212
41404212
done5000212

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.2b
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.2b
(sqrt (fma x y (* z t)))
1.2b
(sqrt (fma x y (* z t)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma x y (* z t))
7.0ms
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.0ms
(sqrt (fma x y (* z t)))
1.0ms
(sqrt (fma x y (* z t)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma x y (* z t))
40.0ms
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
72.0ms
(sqrt (fma x y (* z t)))
76.0ms
(sqrt (fma x y (* z t)))

simplify2.2s

Counts
103 → 103
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0821472
11521001
2546901
32815844
done5000840

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (cbrt (sqrt (fma x y (* z t)))) 4)
1.2b
(sqrt (fma x y (* z t)))
1.2b
(sqrt (fma x y (* z t)))
1.2b
(sqrt (fma x y (* z t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×pow1
6×cbrt-prod
5×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×rem-sqrt-square pow-unpow sqrt-pow1 pow1/2
2×pow-pow
1×pow-to-exp pow1/3 pow-exp sqr-pow
Counts
4 → 71
Calls
4 calls:
3.0ms
(pow (cbrt (sqrt (fma x y (* z t)))) 4)
1.0ms
(sqrt (fma x y (* z t)))
1.0ms
(sqrt (fma x y (* z t)))
1.0ms
(sqrt (fma x y (* z t)))

series352.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(pow (cbrt (sqrt (fma x y (* z t)))) 4)
73.0ms
(sqrt (fma x y (* z t)))
70.0ms
(sqrt (fma x y (* z t)))
74.0ms
(sqrt (fma x y (* z t)))

simplify1.5s

Counts
83 → 83
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01171078
1263968
2741885
32893844
done5001838

prune505.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a b (log1p (expm1 (fma x y (* z t)))))
0.0b
(fma x y (* z t))
0.0b
(expm1 (fma x y (* z t)))
0.8b
(log1p (expm1 (fma x y (* z t))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×log1p-expm1-u
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
2×fma-udef
1×log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 42
Calls
4 calls:
0.0ms
(fma a b (log1p (expm1 (fma x y (* z t)))))
0.0ms
(fma x y (* z t))
0.0ms
(expm1 (fma x y (* z t)))
0.0ms
(log1p (expm1 (fma x y (* z t))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma a b (log1p (expm1 (fma x y (* z t)))))
39.0ms
(fma x y (* z t))
43.0ms
(expm1 (fma x y (* z t)))
43.0ms
(log1p (expm1 (fma x y (* z t))))

simplify845.0ms

Counts
54 → 54
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
055504
170447
2154391
3462389
42011389
done5001389

prune151.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1109
done109

end0.0ms

sample799.0ms

Algorithm
intervals
Results
369.0ms11962×body80valid