Details

Time bar (total: 12.0s)

sample65.0ms

Algorithm
intervals
Results
17.0ms296×body80nan
15.0ms256×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01114
12212
24411
36411
46911
57011
done7011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.0b
(fma y z (* x (+ y z)))
17.9b
(sqrt (fma y z (* x (+ y z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-exp-log add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u associate-*l* sqrt-prod log1p-expm1-u add-log-exp
2×associate-*r/
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
3 → 50
Calls
3 calls:
26.0ms
(* x (+ y z))
0.0ms
(fma y z (* x (+ y z)))
2.0ms
(sqrt (fma y z (* x (+ y z))))

series224.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* x (+ y z))
34.0ms
(fma y z (* x (+ y z)))
145.0ms
(sqrt (fma y z (* x (+ y z))))

simplify596.0ms

Counts
59 → 59
Iterations

Useful iterations: done (594.0ms)

IterNodesCost
091581
1235532
2851485
done5001479

prune233.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.8b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma y z (* x (+ y z)))
1.0b
(fma y z (* x (+ y z)))
17.9b
(sqrt (fma y z (* x (+ y z))))
17.9b
(sqrt (fma y z (* x (+ y z))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube 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 y z (* x (+ y z)))
1.0ms
(fma y z (* x (+ y z)))
3.0ms
(sqrt (fma y z (* x (+ y z))))
3.0ms
(sqrt (fma y z (* x (+ y z))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma y z (* x (+ y z)))
41.0ms
(fma y z (* x (+ y z)))
167.0ms
(sqrt (fma y z (* x (+ y z))))
163.0ms
(sqrt (fma y z (* x (+ y z))))

simplify1.0s

Counts
62 → 62
Iterations

Useful iterations: done (1.0s)

IterNodesCost
051750
1107674
2258616
31234608
done5000606

prune348.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 18.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
1.0b
(fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
17.9b
(sqrt (fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 51
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
0.0ms
(fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
2.0ms
(sqrt (fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt x)
272.0ms
(cbrt x)
58.0ms
(fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
183.0ms
(sqrt (fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify2.0s

Counts
63 → 63
Iterations

Useful iterations: done (2.0s)

IterNodesCost
076727
1159667
2468505
32747420
done5000419

prune353.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.8b

localize22.0ms

Local error

Found 4 expressions with local error:

17.9b
(sqrt (* (* (cbrt (fma y z (* x (+ y z)))) (cbrt (fma y z (* x (+ y z))))) (cbrt (fma y z (* x (+ y z))))))
18.5b
(cbrt (fma y z (* x (+ y z))))
18.5b
(cbrt (fma y z (* x (+ y z))))
18.5b
(cbrt (fma y z (* x (+ y z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
15×sqrt-pow1
12×pow1/3
9×cbrt-prod pow-prod-up
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 65
Calls
4 calls:
39.0ms
(sqrt (* (* (cbrt (fma y z (* x (+ y z)))) (cbrt (fma y z (* x (+ y z))))) (cbrt (fma y z (* x (+ y z))))))
1.0ms
(cbrt (fma y z (* x (+ y z))))
1.0ms
(cbrt (fma y z (* x (+ y z))))
1.0ms
(cbrt (fma y z (* x (+ y z))))

series1.4s

Counts
4 → 12
Calls
4 calls:
216.0ms
(sqrt (* (* (cbrt (fma y z (* x (+ y z)))) (cbrt (fma y z (* x (+ y z))))) (cbrt (fma y z (* x (+ y z))))))
387.0ms
(cbrt (fma y z (* x (+ y z))))
426.0ms
(cbrt (fma y z (* x (+ y z))))
372.0ms
(cbrt (fma y z (* x (+ y z))))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0891169
11921047
2381776
31240727
done5001700

prune388.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 18.8b

regimes236.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 20.0b and baseline of 20.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
11211
done1211

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s7899×body80nan
727.0ms8000×body80valid