Details

Time bar (total: 13.7s)

sample53.0ms

Algorithm
intervals
Results
20.0ms272×body80nan
18.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done42
442
341
232
121
011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) x)
0.8b
(+ (* z y) (* (+ y z) x))
14.8b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-*l*
3×flip3-+ associate-*r* sqrt-prod flip-+ insert-posit16
2×sqrt-div associate-*l/
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 50
Calls
3 calls:
17.0ms
(* (+ y z) x)
8.0ms
(+ (* z y) (* (+ y z) x))
7.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (+ y z) x)
22.0ms
(+ (* z y) (* (+ y z) x))
126.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.3s

Counts
59 → 59
Iterations
IterNodes
done5003
33285
2773
1257
0100

prune307.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 14.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* z y) (* (+ y z) x))
0.8b
(+ (* z y) (* (+ y z) x))
14.8b
(sqrt (+ (* z y) (* (+ y z) x)))
14.8b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16
2×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 56
Calls
4 calls:
11.0ms
(+ (* z y) (* (+ y z) x))
8.0ms
(+ (* z y) (* (+ y z) x))
6.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
10.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* z y) (* (+ y z) x))
26.0ms
(+ (* z y) (* (+ y z) x))
116.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
140.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify1.6s

Counts
68 → 68
Iterations
IterNodes
done5003
32926
2657
1182
066

prune346.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 14.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
14.8b
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×cbrt-prod add-log-exp
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16
3×sqrt-prod
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
9.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series756.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt x)
239.0ms
(cbrt x)
52.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
200.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify2.1s

Counts
64 → 64
Iterations
IterNodes
done5001
33462
2718
1228
090

prune375.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 14.6b

localize33.0ms

Local error

Found 4 expressions with local error:

13.2b
(cbrt (* (+ y z) x))
13.2b
(cbrt (* (+ y z) x))
13.2b
(cbrt (* (+ y z) x))
14.8b
(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt cbrt-div associate-*l/
5×pow1 *-un-lft-identity add-cube-cbrt
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
3×cbrt-prod pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 52
Calls
4 calls:
7.0ms
(cbrt (* (+ y z) x))
7.0ms
(cbrt (* (+ y z) x))
7.0ms
(cbrt (* (+ y z) x))
13.0ms
(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (* (+ y z) x))
117.0ms
(cbrt (* (+ y z) x))
130.0ms
(cbrt (* (+ y z) x))
140.0ms
(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

simplify1.5s

Counts
64 → 64
Iterations
IterNodes
done5003
32218
2739
1292
0121

prune402.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 14.6b

regimes329.0ms

Accuracy

0% (0.2b remaining)

Error of 18.5b against oracle of 18.3b and baseline of 18.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s8000×body80valid
724.0ms8097×body80nan