Details

Time bar (total: 15.7s)

sample72.0ms

Algorithm
intervals
Results
18.0ms269×body80nan
18.0ms256×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01114
12212
24411
36411
46911
57011
done7011

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.0b
(fma y z (* x (+ y z)))
21.6b
(sqrt (fma y z (* x (+ y z))))

rewrite63.0ms

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:
57.0ms
(* x (+ y z))
1.0ms
(fma y z (* x (+ y z)))
3.0ms
(sqrt (fma y z (* x (+ y z))))

series264.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* x (+ y z))
39.0ms
(fma y z (* x (+ y z)))
178.0ms
(sqrt (fma y z (* x (+ y z))))

simplify839.0ms

Counts
59 → 59
Iterations

Useful iterations: done (836.0ms)

IterNodesCost
091581
1235532
2851485
done5001479

prune394.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
1.0b
(fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
21.6b
(sqrt (fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×cbrt-prod add-sqr-sqrt
7×add-cube-cbrt
5×pow1
4×add-exp-log expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×sqrt-prod
2×flip3-+ pow1/3 flip-+ distribute-lft-out
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 57
Calls
4 calls:
8.0ms
(cbrt (+ y z))
15.0ms
(cbrt (+ y z))
1.0ms
(fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
3.0ms
(sqrt (fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (+ y z))
214.0ms
(cbrt (+ y z))
74.0ms
(fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
203.0ms
(sqrt (fma y z (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

simplify2.5s

Counts
69 → 69
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01051047
1234965
2739687
33400600
done5000597

prune609.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.6b

localize42.0ms

Local error

Found 4 expressions with local error:

1.8b
(fma x (+ y z) (* z y))
1.8b
(fma x (+ y z) (* z y))
21.6b
(sqrt (fma x (+ y z) (* z y)))
21.6b
(sqrt (fma x (+ y z) (* z y)))

rewrite21.0ms

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:
10.0ms
(fma x (+ y z) (* z y))
1.0ms
(fma x (+ y z) (* z y))
4.0ms
(sqrt (fma x (+ y z) (* z y)))
5.0ms
(sqrt (fma x (+ y z) (* z y)))

series455.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma x (+ y z) (* z y))
42.0ms
(fma x (+ y z) (* z y))
183.0ms
(sqrt (fma x (+ y z) (* z y)))
181.0ms
(sqrt (fma x (+ y z) (* z y)))

simplify1.5s

Counts
62 → 62
Iterations

Useful iterations: done (1.5s)

IterNodesCost
050754
1107678
2257620
31433612
done5002606

prune562.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 22.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
21.6b
(sqrt (fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

rewrite10.0ms

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:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
3.0ms
(sqrt (fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
381.0ms
(cbrt x)
382.0ms
(cbrt x)
75.0ms
(fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
241.0ms
(sqrt (fma y z (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify2.6s

Counts
63 → 63
Iterations

Useful iterations: done (2.6s)

IterNodesCost
076727
1159667
2468505
32747420
done5000419

prune488.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 22.6b

regimes349.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.2b and baseline of 20.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11211
done1211

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s7855×body80nan
944.0ms8000×body80valid