Details

Time bar (total: 21.0s)

sample105.0ms

Algorithm
intervals
Results
40.0ms272×body80nan
37.0ms256×body80valid

simplify65.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize34.0ms

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)))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
18×associate-*l*
17×distribute-lft-out
9×add-sqr-sqrt sqrt-prod
6×pow1 add-cube-cbrt
5×add-cbrt-cube add-exp-log add-log-exp
3×flip3-+ associate-*r* 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 unswap-sqr
Counts
3 → 62
Calls
3 calls:
34.0ms
(* (+ y z) x)
80.0ms
(+ (* z y) (* (+ y z) x))
157.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series239.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (+ y z) x)
35.0ms
(+ (* z y) (* (+ y z) x))
164.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.9s

Counts
71 → 71
Iterations
IterNodes
done5003
33285
2773
1257
0100

prune364.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 14.7b

localize54.0ms

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)))

rewrite491.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
32×distribute-lft-out
28×associate-*l*
18×sqrt-prod
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt
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 → 80
Calls
4 calls:
73.0ms
(+ (* z y) (* (+ y z) x))
93.0ms
(+ (* z y) (* (+ y z) x))
177.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
146.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* z y) (* (+ y z) x))
39.0ms
(+ (* z y) (* (+ y z) x))
173.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
149.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify1.8s

Counts
92 → 92
Iterations
IterNodes
done5003
32926
2657
1182
066

prune462.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 14.7b

localize27.0ms

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))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
28×associate-*l*
20×distribute-lft-out
11×sqrt-prod
8×add-sqr-sqrt
7×add-cube-cbrt
6×cbrt-prod add-log-exp
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
469.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
962.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series873.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt x)
276.0ms
(cbrt x)
90.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
207.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify2.7s

Counts
80 → 80
Iterations
IterNodes
done5001
33462
2718
1228
090

prune503.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 14.6b

localize27.0ms

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)))))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
32×*-un-lft-identity
21×add-sqr-sqrt associate-*l*
14×add-cube-cbrt
9×associate-*r* sqrt-prod distribute-lft-out
6×cbrt-div associate-*l/
5×pow1
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
3×pow1/3 *-commutative unswap-sqr
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 94
Calls
4 calls:
30.0ms
(cbrt (* (+ y z) x))
31.0ms
(cbrt (* (+ y z) x))
18.0ms
(cbrt (* (+ y z) x))
2.5s
(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (* (+ y z) x))
124.0ms
(cbrt (* (+ y z) x))
106.0ms
(cbrt (* (+ y z) x))
173.0ms
(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

simplify1.9s

Counts
106 → 106
Iterations
IterNodes
done5000
32312
2802
1326
0145

prune577.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 14.6b

regimes363.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
944.0ms8000×body80valid
912.0ms8097×body80nan