Details

Time bar (total: 13.2s)

sample55.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
13.0ms256×body80nan

simplify28.0ms

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: 17.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) x)
1.2b
(+ (* z y) (* (+ y z) x))
17.2b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite61.0ms

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)
24.0ms
(+ (* z y) (* (+ y z) x))
16.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (+ y z) x)
32.0ms
(+ (* z y) (* (+ y z) x))
145.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.4s

Counts
59 → 59
Iterations
IterNodes
done5003
33285
2773
1257
0100

prune311.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 17.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))
1.2b
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
17.2b
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×cbrt-prod
14×*-un-lft-identity add-cube-cbrt
12×pow1
7×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log add-log-exp
4×add-cbrt-cube insert-posit16 unswap-sqr
3×sqrt-prod
2×flip3-+ sqrt-div pow-prod-down pow-sqr pow-prod-up flip-+
1×pow2 +-commutative rem-sqrt-square sum-log sqrt-pow1 pow-plus pow1/2 prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
11.0ms
(* (cbrt x) (cbrt x))
10.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
8.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt x)
232.0ms
(* (cbrt x) (cbrt x))
54.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
156.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5000
21030
1320
0127

prune517.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 16.9b

localize39.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* z y) (* (+ y z) x))
1.2b
(+ (* z y) (* (+ y z) x))
17.2b
(sqrt (+ (* z y) (* (+ y z) x)))
17.2b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite58.0ms

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:
10.0ms
(+ (* z y) (* (+ y z) x))
17.0ms
(+ (* z y) (* (+ y z) x))
13.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
17.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* z y) (* (+ y z) x))
29.0ms
(+ (* z y) (* (+ y z) x))
125.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
139.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify1.8s

Counts
68 → 68
Iterations
IterNodes
done5003
32926
2657
1182
066

prune404.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 16.9b

localize32.0ms

Local error

Found 4 expressions with local error:

3.2b
(sqrt (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))))
17.7b
(cbrt (+ (* z y) (* (+ y z) x)))
17.7b
(cbrt (+ (* z y) (* (+ y z) x)))
17.7b
(cbrt (+ (* z y) (* (+ y z) x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1
9×cbrt-prod sqrt-pow1 flip3-+ pow1/3 flip-+
8×sqrt-div
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×frac-times add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 rem-sqrt-square pow-plus pow1/2 sqrt-prod
Counts
4 → 70
Calls
4 calls:
34.0ms
(sqrt (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))))
5.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
7.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
8.0ms
(cbrt (+ (* z y) (* (+ y z) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
301.0ms
(sqrt (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))))
246.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
284.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
278.0ms
(cbrt (+ (* z y) (* (+ y z) x)))

simplify1.1s

Counts
82 → 82
Iterations
IterNodes
done5010
31460
2504
1213
0105

prune492.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 16.9b

regimes263.0ms

Accuracy

0% (0.3b remaining)

Error of 18.3b against oracle of 18.0b and baseline of 18.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample1.8s

Algorithm
intervals
Results
813.0ms8000×body80valid
587.0ms7974×body80nan