Details

Time bar (total: 26.3s)

sample78.0ms

Algorithm
intervals
Results
29.0ms391×body80valid

simplify5.0s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×sum-log add-cube-cbrt
4×pow1 diff-log
3×associate-+l+ associate-/r* flip3-+ times-frac flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×clear-num frac-2neg flip3-- prod-exp associate-+l- cbrt-unprod div-inv flip-- associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
8.0ms
(/ (* a b) 4.0)
109.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
17.0ms
(+ (* x y) (/ (* z t) 16.0))
285.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series409.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* a b) 4.0)
130.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
53.0ms
(+ (* x y) (/ (* z t) 16.0))
205.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5002
21419
1380
0141

prune598.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.2b
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
1.3b
(sqrt (+ (* x y) (/ (* z t) 16.0)))
1.3b
(sqrt (+ (* x y) (/ (* z t) 16.0)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
16.0ms
(+ (* x y) (/ (* z t) 16.0))
102.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
17.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
11.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (* x y) (/ (* z t) 16.0))
75.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
159.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
139.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))

simplify2.1s

Counts
110 → 110
Iterations
IterNodes
done5001
32891
2750
1265
0110

prune811.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1 (+ (/ z (/ 16.0 t)) (* x y))) (/ (* a b) 4.0))
0.0b
(+ (/ z (/ 16.0 t)) (* x y))
0.0b
(+ (- (* 1 (+ (/ z (/ 16.0 t)) (* x y))) (/ (* a b) 4.0)) c)
0.2b
(/ z (/ 16.0 t))

rewrite423.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
51×*-un-lft-identity
46×add-sqr-sqrt add-cube-cbrt
13×associate-/r* add-log-exp
9×add-cbrt-cube add-exp-log
5×div-inv
4×pow1 associate-+l+ associate--l+
3×cbrt-undiv sum-log flip3-+ div-exp flip-+ associate-/l*
2×distribute-rgt-in +-commutative sub-neg distribute-lft-in diff-log associate-*r/ frac-sub distribute-lft-out distribute-lft-out--
1×clear-num frac-2neg flip3-- associate-/r/ associate-+l- flip--
Counts
4 → 117
Calls
4 calls:
60.0ms
(- (* 1 (+ (/ z (/ 16.0 t)) (* x y))) (/ (* a b) 4.0))
59.0ms
(+ (/ z (/ 16.0 t)) (* x y))
282.0ms
(+ (- (* 1 (+ (/ z (/ 16.0 t)) (* x y))) (/ (* a b) 4.0)) c)
13.0ms
(/ z (/ 16.0 t))

series392.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(- (* 1 (+ (/ z (/ 16.0 t)) (* x y))) (/ (* a b) 4.0))
62.0ms
(+ (/ z (/ 16.0 t)) (* x y))
167.0ms
(+ (- (* 1 (+ (/ z (/ 16.0 t)) (* x y))) (/ (* a b) 4.0)) c)
35.0ms
(/ z (/ 16.0 t))

simplify1.9s

Counts
129 → 129
Iterations
IterNodes
done5003
22111
1672
0248

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1 (+ (/ 1 (/ (/ 16.0 t) z)) (* x y))) (/ (* a b) 4.0))
0.0b
(+ (- (* 1 (+ (/ 1 (/ (/ 16.0 t) z)) (* x y))) (/ (* a b) 4.0)) c)
0.2b
(/ (/ 16.0 t) z)
0.7b
(/ 1 (/ (/ 16.0 t) z))

rewrite755.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
235×*-un-lft-identity
230×add-sqr-sqrt add-cube-cbrt
46×associate-/r*
30×add-exp-log
22×div-inv
18×add-cbrt-cube div-exp
16×associate-/l*
11×add-log-exp
9×cbrt-undiv
5×pow1
4×associate-+l+ associate--l+
3×rec-exp 1-exp
2×distribute-rgt-in clear-num sum-log sub-neg frac-2neg distribute-lft-in flip3-+ diff-log associate-*r/ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative flip3-- associate-/r/ associate-+l- pow-flip flip-- inv-pow associate-/l/
Counts
4 → 306
Calls
4 calls:
85.0ms
(- (* 1 (+ (/ 1 (/ (/ 16.0 t) z)) (* x y))) (/ (* a b) 4.0))
592.0ms
(+ (- (* 1 (+ (/ 1 (/ (/ 16.0 t) z)) (* x y))) (/ (* a b) 4.0)) c)
19.0ms
(/ (/ 16.0 t) z)
32.0ms
(/ 1 (/ (/ 16.0 t) z))

series379.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (* 1 (+ (/ 1 (/ (/ 16.0 t) z)) (* x y))) (/ (* a b) 4.0))
185.0ms
(+ (- (* 1 (+ (/ 1 (/ (/ 16.0 t) z)) (* x y))) (/ (* a b) 4.0)) c)
36.0ms
(/ (/ 16.0 t) z)
37.0ms
(/ 1 (/ (/ 16.0 t) z))

simplify2.9s

Counts
318 → 318
Iterations
IterNodes
done5000
23535
11417
0510

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s11929×body80valid