Details

Time bar (total: 15.0s)

sample43.0ms

Algorithm
intervals
Results
18.0ms232×body80nan
11.0ms256×body80valid

simplify21.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) x)
1.8b
(+ (* z y) (* (+ y z) x))
19.7b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite43.0ms

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:
20.0ms
(* (+ y z) x)
14.0ms
(+ (* z y) (* (+ y z) x))
8.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (+ y z) x)
25.0ms
(+ (* z y) (* (+ y z) x))
117.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.1s

Counts
59 → 59
Iterations
IterNodes
done5003
33285
2773
1257
0100

prune271.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 19.6b

localize29.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* z y) (* (+ y z) x))
1.8b
(+ (* z y) (* (+ y z) x))
19.7b
(sqrt (+ (* z y) (* (+ y z) x)))
19.7b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite45.0ms

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:
18.0ms
(+ (* z y) (* (+ y z) x))
11.0ms
(+ (* z y) (* (+ y z) x))
8.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
8.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* z y) (* (+ y z) x))
33.0ms
(+ (* z y) (* (+ y z) x))
178.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
150.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify1.8s

Counts
68 → 68
Iterations
IterNodes
done5003
32926
2657
1182
066

prune461.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 19.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
19.7b
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite31.0ms

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)
11.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
17.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series817.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
303.0ms
(cbrt x)
71.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
185.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify2.4s

Counts
64 → 64
Iterations
IterNodes
done5001
33462
2718
1228
090

prune515.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 19.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) z)
1.6b
(+ (* y x) (* (+ x y) z))
19.7b
(sqrt (+ (* y x) (* (+ x y) z)))

rewrite59.0ms

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:
34.0ms
(* (+ x y) z)
16.0ms
(+ (* y x) (* (+ x y) z))
8.0ms
(sqrt (+ (* y x) (* (+ x y) z)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (+ x y) z)
39.0ms
(+ (* y x) (* (+ x y) z))
172.0ms
(sqrt (+ (* y x) (* (+ x y) z)))

simplify3.0s

Counts
59 → 59
Iterations
IterNodes
done5002
33246
2799
1265
0104

prune289.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 19.4b

regimes362.0ms

Accuracy

0% (0.2b remaining)

Error of 18.6b against oracle of 18.3b and baseline of 18.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample1.9s

Algorithm
intervals
Results
773.0ms8000×body80valid
702.0ms8040×body80nan