Details

Time bar (total: 15.1s)

sample52.0ms

Algorithm
intervals
Results
24.0ms372×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
13217
26917
312617
420117
528417
638917
752617
863017
963817
done63817

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite450.0ms

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:
293.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
116.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
21.0ms
(+ (* x y) (/ (* z t) 16.0))
16.0ms
(/ (* z t) 16.0)

series414.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
121.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
64.0ms
(+ (* x y) (/ (* z t) 16.0))
27.0ms
(/ (* z t) 16.0)

simplify897.0ms

Counts
81 → 81
Iterations

Useful iterations: done (889.0ms)

IterNodesCost
01421389
13721288
213311232
done50001204

prune373.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite600.0ms

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:
18.0ms
(/ (* a b) 4.0)
510.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
61.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
8.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* a b) 4.0)
609.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
421.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
273.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))

simplify886.0ms

Counts
81 → 81
Iterations

Useful iterations: done (882.0ms)

IterNodesCost
01441709
13841580
214381234
done50011206

prune349.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
0.0b
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ 1 (/ 4.0 (* a b))))
0.3b
(/ 4.0 (* a b))
0.9b
(/ 1 (/ 4.0 (* a b)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
30×add-exp-log
29×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
18×add-cbrt-cube
14×div-exp
11×add-log-exp
8×associate-/r*
7×cbrt-undiv div-inv
6×associate-/l*
5×pow1
4×prod-exp
3×rec-exp 1-exp difference-of-squares
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub cbrt-unprod flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- pow-flip associate--l+ associate-/r/ flip-- inv-pow
Counts
4 → 109
Calls
4 calls:
17.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
62.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ 1 (/ 4.0 (* a b))))
14.0ms
(/ 4.0 (* a b))
15.0ms
(/ 1 (/ 4.0 (* a b)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
296.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
378.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ 1 (/ 4.0 (* a b))))
27.0ms
(/ 4.0 (* a b))
32.0ms
(/ 1 (/ 4.0 (* a b)))

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01922001
14761780
215761368
done50001338

prune455.0ms

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) (/ 1 (/ 16.0 (* z t))))
0.0b
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
0.4b
(/ 16.0 (* z t))
0.5b
(/ 1 (/ 16.0 (* z t)))

rewrite409.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-exp-log
24×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×add-cbrt-cube
14×div-exp
11×add-log-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
5×pow1
4×prod-exp
3×rec-exp 1-exp
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub cbrt-unprod flip-+
1×+-commutative sub-neg flip3-- pow-flip associate--l+ associate-/r/ flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 106
Calls
4 calls:
40.0ms
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
306.0ms
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
17.0ms
(/ 16.0 (* z t))
42.0ms
(/ 1 (/ 16.0 (* z t)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
116.0ms
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
33.0ms
(/ 16.0 (* z t))
21.0ms
(/ 1 (/ 16.0 (* z t)))

simplify1.3s

Counts
118 → 118
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01871706
14521505
213811267
done50001235

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes528.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02123
12823
done2823

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s11961×body80valid