Details

Time bar (total: 11.2s)

sample42.0ms

Algorithm
intervals
Results
18.0ms411×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01515
12714
26012
310912
413312
513512
done13512

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
0.0ms
(fma a b (fma x y (* z t)))
0.0ms
(fma c i (fma a b (fma x y (* z t))))
0.0ms
(fma x y (* z t))

series318.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma a b (fma x y (* z t)))
222.0ms
(fma c i (fma a b (fma x y (* z t))))
38.0ms
(fma x y (* z t))

simplify950.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
047430
163420
2140366
3526366
42930366
done5000366

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.3b
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.0b
(sqrt (fma x y (* z t)))
1.0b
(sqrt (fma x y (* z t)))

rewrite13.0ms

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))
9.0ms
(* (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)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma x y (* z t))
39.0ms
(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
73.0ms
(sqrt (fma x y (* z t)))
71.0ms
(sqrt (fma x y (* z t)))

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0821472
11521001
2546901
32815844
done5000840

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (fma x y (* z t)))) (sqrt (sqrt (fma x y (* z t)))))
1.0b
(sqrt (fma x y (* z t)))
1.0b
(sqrt (fma x y (* z t)))
1.0b
(sqrt (fma x y (* z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
14.0ms
(* (sqrt (sqrt (fma x y (* z t)))) (sqrt (sqrt (fma x y (* z t)))))
1.0ms
(sqrt (fma x y (* z t)))
1.0ms
(sqrt (fma x y (* z t)))
1.0ms
(sqrt (fma x y (* z t)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (sqrt (sqrt (fma x y (* z t)))) (sqrt (sqrt (fma x y (* z t)))))
72.0ms
(sqrt (fma x y (* z t)))
69.0ms
(sqrt (fma x y (* z t)))
80.0ms
(sqrt (fma x y (* z t)))

simplify3.5s

Counts
134 → 134
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01002362
11801454
26551336
334261256
done50001248

prune410.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt (fma x y (* z t))) (fabs (cbrt (fma x y (* z t))))) (sqrt (cbrt (fma x y (* z t)))))
1.0b
(sqrt (fma x y (* z t)))
1.5b
(cbrt (fma x y (* z t)))
1.5b
(cbrt (fma x y (* z t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod associate-*r* sqrt-prod add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative
Counts
4 → 67
Calls
4 calls:
16.0ms
(* (* (sqrt (fma x y (* z t))) (fabs (cbrt (fma x y (* z t))))) (sqrt (cbrt (fma x y (* z t)))))
1.0ms
(sqrt (fma x y (* z t)))
0.0ms
(cbrt (fma x y (* z t)))
1.0ms
(cbrt (fma x y (* z t)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (* (sqrt (fma x y (* z t))) (fabs (cbrt (fma x y (* z t))))) (sqrt (cbrt (fma x y (* z t)))))
74.0ms
(sqrt (fma x y (* z t)))
104.0ms
(cbrt (fma x y (* z t)))
108.0ms
(cbrt (fma x y (* z t)))

simplify535.0ms

Counts
79 → 79
Iterations

Useful iterations: done (532.0ms)

IterNodesCost
01511520
13871398
213011229
done50011209

prune379.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes257.0ms

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
01212
11312
done1312

end0.0ms

sample1.2s

Algorithm
intervals
Results
548.0ms13464×body80valid