Details

Time bar (total: 14.7s)

sample78.0ms

Algorithm
intervals
Results
37.0ms273×body80nan
18.0ms256×body80valid

simplify34.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.8b
(+ (* x y) (* x z))
1.6b
(+ (+ (* x y) (* x z)) (* y z))
18.5b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 sum-log *-un-lft-identity add-cube-cbrt
3×flip3-+ add-cbrt-cube add-exp-log sqrt-prod flip-+ insert-posit16
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 43
Calls
3 calls:
11.0ms
(+ (* x y) (* x z))
35.0ms
(+ (+ (* x y) (* x z)) (* y z))
31.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x y) (* x z))
27.0ms
(+ (+ (* x y) (* x z)) (* y z))
144.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.2s

Counts
52 → 52
Iterations
IterNodes
done5001
34070
2947
1256
088

prune244.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) x)
1.6b
(+ (* z y) (* (+ y z) x))
18.5b
(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:
16.0ms
(* (+ y z) x)
9.0ms
(+ (* z y) (* (+ y z) x))
8.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (+ y z) x)
32.0ms
(+ (* z y) (* (+ y z) x))
124.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.1s

Counts
59 → 59
Iterations
IterNodes
done5003
33285
2773
1257
0100

prune234.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))
1.6b
(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
18.5b
(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×cbrt-prod add-sqr-sqrt
7×add-cube-cbrt
6×add-log-exp
5×pow1
4×cbrt-div flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16
3×sqrt-prod
2×pow1/3 sqrt-div distribute-lft-out
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ y z))
3.0ms
(cbrt (+ y z))
10.0ms
(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
7.0ms
(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt (+ y z))
215.0ms
(cbrt (+ y z))
82.0ms
(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
170.0ms
(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

simplify2.6s

Counts
70 → 70
Iterations
IterNodes
done5000
33846
2992
1298
0119

prune450.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 18.3b

localize50.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* z y) (* (+ y z) x))
1.6b
(+ (* z y) (* (+ y z) x))
18.5b
(sqrt (+ (* z y) (* (+ y z) x)))
18.5b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite34.0ms

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:
9.0ms
(+ (* z y) (* (+ y z) x))
9.0ms
(+ (* z y) (* (+ y z) x))
7.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
8.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* z y) (* (+ y z) x))
33.0ms
(+ (* z y) (* (+ y z) x))
156.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
131.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.1s

Counts
68 → 68
Iterations
IterNodes
done5003
32926
2657
1182
066

prune403.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 18.3b

regimes411.0ms

Accuracy

0% (0.2b remaining)

Error of 18.7b against oracle of 18.5b and baseline of 18.7b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s7768×body80nan
669.0ms8000×body80valid