Details

Time bar (total: 50.8s)

sample113.0ms

Algorithm
intervals
Results
37.0ms360×body80valid

simplify11.0s

Counts
1 → 1
Iterations
IterNodes
done5001
244881
234699
224472
214270
204070
193868
183646
173460
163233
153031
142826
132618
122415
112233
101991
91774
81492
71119
6768
5428
4213
3120
265
132
017

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.2b
(/ (* a b) 4.0)
0.2b
(/ (* z t) 16.0)

rewrite519.0ms

Algorithm
rewrite-expression-head
Rules
15×add-log-exp
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×associate-/r* times-frac
5×sum-log
4×pow1 cbrt-undiv div-exp insert-posit16
3×associate-+l+
2×+-commutative clear-num frac-2neg flip3-+ diff-log prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
1×sub-neg associate--l+ associate-+l- distribute-lft-out--
Counts
4 → 76
Calls
4 calls:
28.0ms
(+ (* x y) (/ (* z t) 16.0))
457.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
13.0ms
(/ (* a b) 4.0)
13.0ms
(/ (* z t) 16.0)

series404.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (* x y) (/ (* z t) 16.0))
250.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
30.0ms
(/ (* a b) 4.0)
46.0ms
(/ (* z t) 16.0)

simplify2.5s

Counts
88 → 88
Iterations
IterNodes
done5008
21560
1423
0162

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
0.0b
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
0.2b
(/ z (/ 16.0 t))
0.2b
(/ (* a b) 4.0)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×*-un-lft-identity
50×add-sqr-sqrt
48×add-cube-cbrt
18×add-log-exp
16×associate-/r*
14×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv sum-log div-exp
4×pow1 diff-log insert-posit16 associate-/l*
3×associate-+l+
2×clear-num sub-neg frac-2neg flip3-+ associate--l+ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative flip3-- prod-exp associate-/r/ associate-+l- cbrt-unprod flip-- difference-of-squares
Counts
4 → 132
Calls
4 calls:
351.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
1.3s
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
27.0ms
(/ z (/ 16.0 t))
25.0ms
(/ (* a b) 4.0)

series567.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
304.0ms
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
44.0ms
(/ z (/ 16.0 t))
49.0ms
(/ (* a b) 4.0)

simplify4.2s

Counts
144 → 144
Iterations
IterNodes
done5011
22329
1716
0281

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
0.2b
(/ (* z t) 16.0)
0.2b
(/ a (/ 4.0 b))

rewrite928.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×add-sqr-sqrt
55×*-un-lft-identity
48×add-cube-cbrt
18×add-log-exp
16×associate-/r*
14×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv sum-log div-exp
4×pow1 diff-log insert-posit16 associate-/l*
3×associate-+l+ difference-of-squares
2×clear-num sub-neg frac-2neg flip3-+ associate--l+ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative flip3-- prod-exp associate-/r/ associate-+l- cbrt-unprod flip--
Counts
4 → 134
Calls
4 calls:
144.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
729.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
22.0ms
(/ (* z t) 16.0)
12.0ms
(/ a (/ 4.0 b))

series567.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
332.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
24.0ms
(/ (* z t) 16.0)
45.0ms
(/ a (/ 4.0 b))

simplify4.1s

Counts
146 → 146
Iterations
IterNodes
done5002
22524
1736
0286

prune3.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize158.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a b) 4.0)
0.2b
(/ (* z t) 16.0)
0.2b
(/ (* z t) 16.0)
0.2b
(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
38×sqrt-prod
30×add-sqr-sqrt
21×add-cbrt-cube add-exp-log
19×pow1
18×add-cube-cbrt
16×swap-sqr distribute-lft-out
12×sqrt-div
9×associate-/r* times-frac
8×sqrt-pow1 pow1/2 associate-*r* associate-*l* distribute-lft-out--
6×cbrt-undiv flip3-+ div-exp flip-+
5×pow-prod-up
4×frac-times prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg pow-prod-down pow-sqr div-inv associate-/l*
2×associate-*l/ associate-*r/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod *-commutative
Counts
4 → 136
Calls
4 calls:
25.0ms
(/ (* a b) 4.0)
17.0ms
(/ (* z t) 16.0)
13.0ms
(/ (* z t) 16.0)
2.2s
(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* a b) 4.0)
30.0ms
(/ (* z t) 16.0)
41.0ms
(/ (* z t) 16.0)
296.0ms
(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

simplify3.0s

Counts
148 → 148
Iterations
IterNodes
done5000
21440
1430
0187

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes6.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.2s12003×body80valid