Details

Time bar (total: 13.3s)

sample45.0ms

Algorithm
intervals
Results
11.0ms278×body80nan
11.0ms256×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01114
12112
23312
34212
44412
done4412

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
0.6b
(+ (* y z) (* x (+ y z)))
18.1b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite43.0ms

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 add-log-exp
4×associate-*r*
3×flip3-+ associate-*l* sqrt-prod flip-+
2×distribute-rgt-in associate-+r+ distribute-lft-in sqrt-div associate-*r/
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
25.0ms
(* x (+ y z))
9.0ms
(+ (* y z) (* x (+ y z)))
8.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* x (+ y z))
24.0ms
(+ (* y z) (* x (+ y z)))
118.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify685.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
0102723
1293648
21290606
done5000606

prune310.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* y z) (* x (+ y z)))
0.6b
(+ (* y z) (* x (+ y z)))
18.1b
(sqrt (+ (* y z) (* x (+ y z))))
18.1b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
14.0ms
(+ (* y z) (* x (+ y z)))
10.0ms
(+ (* y z) (* x (+ y z)))
10.0ms
(sqrt (+ (* y z) (* x (+ y z))))
12.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* y z) (* x (+ y z)))
34.0ms
(+ (* y z) (* x (+ y z)))
158.0ms
(sqrt (+ (* y z) (* x (+ y z))))
161.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify606.0ms

Counts
68 → 68
Iterations

Useful iterations: done (603.0ms)

IterNodesCost
0681058
1187950
2778886
done5000878

prune453.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 19.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* y z) (* x (+ y z)))
0.6b
(+ (* y z) (* x (+ y z)))
18.7b
(cbrt (+ (* y z) (* x (+ y z))))
18.7b
(cbrt (+ (* y z) (* x (+ y z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div associate-+r+ flip3-+ add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in distribute-lft-in pow1/3 sum-log
Counts
4 → 52
Calls
4 calls:
14.0ms
(+ (* y z) (* x (+ y z)))
14.0ms
(+ (* y z) (* x (+ y z)))
8.0ms
(cbrt (+ (* y z) (* x (+ y z))))
15.0ms
(cbrt (+ (* y z) (* x (+ y z))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* y z) (* x (+ y z)))
24.0ms
(+ (* y z) (* x (+ y z)))
262.0ms
(cbrt (+ (* y z) (* x (+ y z))))
295.0ms
(cbrt (+ (* y z) (* x (+ y z))))

simplify3.1s

Counts
64 → 64
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0721022
1194970
2704892
34597882
done5000866

prune409.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.0b

localize31.0ms

Local error

Found 4 expressions with local error:

18.1b
(sqrt (+ (* y z) (* x (+ y z))))
18.1b
(sqrt (+ (* y z) (* x (+ y z))))
18.7b
(cbrt (+ (* y z) (* x (+ y z))))
18.7b
(cbrt (* (sqrt (+ (* y z) (* x (+ y z)))) (sqrt (+ (* y z) (* x (+ y z))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×cbrt-div
9×add-sqr-sqrt flip3-+ flip-+
7×add-cube-cbrt *-un-lft-identity
6×pow1 sqrt-prod
4×add-exp-log cbrt-prod frac-times add-cbrt-cube add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 associate-*r/ associate-*l/
Counts
4 → 60
Calls
4 calls:
9.0ms
(sqrt (+ (* y z) (* x (+ y z))))
10.0ms
(sqrt (+ (* y z) (* x (+ y z))))
5.0ms
(cbrt (+ (* y z) (* x (+ y z))))
26.0ms
(cbrt (* (sqrt (+ (* y z) (* x (+ y z)))) (sqrt (+ (* y z) (* x (+ y z))))))

series826.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(sqrt (+ (* y z) (* x (+ y z))))
120.0ms
(sqrt (+ (* y z) (* x (+ y z))))
288.0ms
(cbrt (+ (* y z) (* x (+ y z))))
269.0ms
(cbrt (* (sqrt (+ (* y z) (* x (+ y z)))) (sqrt (+ (* y z) (* x (+ y z))))))

simplify2.4s

Counts
72 → 72
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01211681
12581364
26901294
334061276
done50001260

prune523.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 19.0b

regimes295.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.6b and baseline of 19.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample2.1s

Algorithm
intervals
Results
719.0ms8000×body80valid
604.0ms7862×body80nan