Details

Time bar (total: 39.0s)

sample54.0ms

Algorithm
intervals
Results
23.0ms465×body80valid

simplify93.0ms

Counts
1 → 1
Iterations
IterNodes
done54
454
348
242
124
011

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×*-un-lft-identity add-cube-cbrt
27×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×frac-times cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
5×add-log-exp
3×insert-posit16
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 157
Calls
3 calls:
20.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
33.0ms
(* (/ x y) (/ x y))
40.0ms
(* (/ z t) (/ z t))

series258.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
59.0ms
(* (/ x y) (/ x y))
45.0ms
(* (/ z t) (/ z t))

simplify4.5s

Counts
166 → 166
Iterations
IterNodes
done5000
23094
1901
0258

prune2.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.4b
(* (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))) (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
8.1b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
8.1b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

rewrite414.0ms

Algorithm
rewrite-expression-head
Rules
286×sqrt-div
278×frac-times
234×frac-add
168×associate-*l/ associate-*r/
68×add-sqr-sqrt
42×*-un-lft-identity add-cube-cbrt
40×times-frac
28×pow1
26×flip3-+ flip-+
24×sqrt-prod
21×swap-sqr
19×associate-*r* associate-*l*
18×add-cbrt-cube add-exp-log
10×sqrt-pow1 pow1/2
8×unswap-sqr
6×pow-prod-up
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp pow-prod-down pow-sqr insert-posit16 div-inv add-log-exp
2×pow2 rem-sqrt-square pow-plus *-commutative
1×rem-square-sqrt sqrt-unprod
Counts
4 → 311
Calls
4 calls:
58.0ms
(* (/ z t) (/ z t))
198.0ms
(* (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))) (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
29.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
34.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (/ z t) (/ z t))
191.0ms
(* (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))) (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
219.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
221.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

simplify4.8s

Counts
323 → 323
Iterations
IterNodes
done5000
22633
1892
0400

prune4.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize151.0ms

Local error

Found 4 expressions with local error:

2.4b
(sqrt (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
8.1b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
8.1b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
8.1b
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
55×sqrt-div
36×frac-add
24×frac-times associate-*l/ associate-*r/
19×sqrt-prod
14×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cube-cbrt
7×sqrt-pow1
5×rem-sqrt-square pow1/2
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 106
Calls
4 calls:
36.0ms
(sqrt (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
50.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
50.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
50.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
361.0ms
(sqrt (sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))))
272.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
247.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))
269.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t))))

simplify3.7s

Counts
118 → 118
Iterations
IterNodes
done5000
32003
2673
1298
0147

prune2.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

localize200.0ms

Local error

Found 4 expressions with local error:

8.1b
(sqrt (+ (* (/ x y) (/ x y)) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (/ z t)))))
10.0b
(cbrt (/ z t))
10.0b
(cbrt (/ z t))
10.0b
(cbrt (/ z t))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
66×frac-times
48×associate-*l/ associate-*r/
47×sqrt-div
45×frac-add
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×*-un-lft-identity add-cube-cbrt
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3 sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 130
Calls
4 calls:
45.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (/ z t)))))
7.0ms
(cbrt (/ z t))
7.0ms
(cbrt (/ z t))
8.0ms
(cbrt (/ z t))

series683.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(sqrt (+ (* (/ x y) (/ x y)) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (/ z t)))))
149.0ms
(cbrt (/ z t))
158.0ms
(cbrt (/ z t))
140.0ms
(cbrt (/ z t))

simplify3.3s

Counts
142 → 142
Iterations
IterNodes
done5007
21678
1711
0320

prune2.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes4.4s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done31
131
022

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s15390×body80valid