Details

Time bar (total: 10.1s)

sample34.0ms

Algorithm
intervals
Results
15.0ms368×body80valid

simplify774.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26817
312117
419217
527117
639217
755317
872717
977617
done77617

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt sum-log
4×pow1 diff-log
3×associate-+l+ flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
37.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
129.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ (* z t) 16.0)

series282.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
139.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
45.0ms
(+ (* x y) (/ (* z t) 16.0))
17.0ms
(/ (* z t) 16.0)

simplify411.0ms

Counts
81 → 81
Iterations

Useful iterations: done (409.0ms)

IterNodesCost
01421389
13771288
212591232
done50021204

prune228.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
6×sum-log
5×add-sqr-sqrt
4×diff-log
3×pow1 add-exp-log add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
17.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
65.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
3.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))

series919.0ms

Counts
3 → 9
Calls
3 calls:
287.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
393.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
239.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))

simplify1.5s

Counts
57 → 57
Iterations

Useful iterations: 3 (410.0ms)

IterNodesCost
01041523
12981411
210551085
348931057
done50001057

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite819.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
53×*-un-lft-identity
48×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/r*
9×add-exp-log add-cbrt-cube
6×sum-log
5×div-inv
4×pow1 diff-log
3×cbrt-undiv associate-+l+ flip3-+ div-exp flip-+ associate-/l*
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg clear-num associate-/r/ flip-- difference-of-squares
Counts
4 → 118
Calls
4 calls:
179.0ms
(- (+ (/ t (/ 16.0 z)) (* x y)) (/ (* a b) 4.0))
603.0ms
(+ (- (+ (/ t (/ 16.0 z)) (* x y)) (/ (* a b) 4.0)) c)
25.0ms
(+ (/ t (/ 16.0 z)) (* x y))
7.0ms
(/ t (/ 16.0 z))

series290.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (+ (/ t (/ 16.0 z)) (* x y)) (/ (* a b) 4.0))
138.0ms
(+ (- (+ (/ t (/ 16.0 z)) (* x y)) (/ (* a b) 4.0)) c)
51.0ms
(+ (/ t (/ 16.0 z)) (* x y))
20.0ms
(/ t (/ 16.0 z))

simplify614.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
02422079
15901924
218271858
done50001858

prune406.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* t z) 16.0)
0.2b
(/ (* t z) 16.0)
0.3b
(* (- (+ (/ (* t z) 16.0) (* x y)) (/ (* a b) 4.0)) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y))))
29.5b
(/ (* (- (+ (/ (* t z) 16.0) (* x y)) (/ (* a b) 4.0)) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y)))) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y))))

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times flip3-+ flip-+
24×associate-/l/
22×frac-add
21×add-exp-log add-cbrt-cube
20×*-un-lft-identity frac-sub
16×add-sqr-sqrt
12×add-cube-cbrt
10×flip3-- times-frac associate-/r* flip--
8×associate-*r/ associate-*l/
6×pow1 cbrt-undiv div-exp
5×associate-*l*
4×associate-*r* prod-exp associate-/r/ cbrt-unprod add-log-exp
3×frac-2neg clear-num div-inv distribute-lft-out associate-/l*
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 140
Calls
4 calls:
3.0ms
(/ (* t z) 16.0)
3.0ms
(/ (* t z) 16.0)
199.0ms
(* (- (+ (/ (* t z) 16.0) (* x y)) (/ (* a b) 4.0)) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y))))
156.0ms
(/ (* (- (+ (/ (* t z) 16.0) (* x y)) (/ (* a b) 4.0)) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y)))) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* t z) 16.0)
19.0ms
(/ (* t z) 16.0)
491.0ms
(* (- (+ (/ (* t z) 16.0) (* x y)) (/ (* a b) 4.0)) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y))))
86.0ms
(/ (* (- (+ (/ (* t z) 16.0) (* x y)) (/ (* a b) 4.0)) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y)))) (+ (/ (* a b) 4.0) (+ (/ (* t z) 16.0) (* x y))))

simplify502.0ms

Counts
152 → 152
Iterations

Useful iterations: done (495.0ms)

IterNodesCost
02516831
18686015
done50005717

prune618.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
12421
done2421

end0.0ms

sample965.0ms

Algorithm
intervals
Results
509.0ms11819×body80valid