Details

Time bar (total: 17.0s)

sample71.0ms

Algorithm
intervals
Results
36.0ms384×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
13217
26917
312717
433917
5100617
6336717
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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

rewrite411.0ms

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:
11.0ms
(+ (* x y) (/ (* z t) 16.0))
306.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
82.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
10.0ms
(/ (* z t) 16.0)

series373.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (* x y) (/ (* z t) 16.0))
201.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
101.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
22.0ms
(/ (* z t) 16.0)

simplify724.0ms

Counts
81 → 81
Iterations

Useful iterations: done (722.0ms)

IterNodesCost
01421389
13841288
216271232
done50011228

prune360.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 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)))
0.0b
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

rewrite217.0ms

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:
144.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
12.0ms
(+ (* x y) (* z (/ t 16.0)))
59.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

series395.0ms

Counts
3 → 9
Calls
3 calls:
209.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
65.0ms
(+ (* x y) (* z (/ t 16.0)))
121.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

simplify746.0ms

Counts
57 → 57
Iterations

Useful iterations: done (744.0ms)

IterNodesCost
01011203
12881119
210801083
done50011055

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (/ t 16.0)) (* z (/ t 16.0)))
0.3b
(* (* x y) (* x y))
1.8b
(- (* (* x y) (* x y)) (* (* z (/ t 16.0)) (* z (/ t 16.0))))
24.9b
(/ (- (* (* x y) (* x y)) (* (* z (/ t 16.0)) (* z (/ t 16.0)))) (- (* x y) (* z (/ t 16.0))))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
54×add-exp-log add-cbrt-cube
34×pow-prod-down
29×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
7×cbrt-undiv div-exp
6×add-log-exp
5×associate-*r/ difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×frac-times sub-neg frac-2neg diff-log div-sub associate-*l/ clear-num div-inv
Counts
4 → 130
Calls
4 calls:
76.0ms
(* (* z (/ t 16.0)) (* z (/ t 16.0)))
44.0ms
(* (* x y) (* x y))
38.0ms
(- (* (* x y) (* x y)) (* (* z (/ t 16.0)) (* z (/ t 16.0))))
88.0ms
(/ (- (* (* x y) (* x y)) (* (* z (/ t 16.0)) (* z (/ t 16.0)))) (- (* x y) (* z (/ t 16.0))))

series345.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* z (/ t 16.0)) (* z (/ t 16.0)))
34.0ms
(* (* x y) (* x y))
138.0ms
(- (* (* x y) (* x y)) (* (* z (/ t 16.0)) (* z (/ t 16.0))))
135.0ms
(/ (- (* (* x y) (* x y)) (* (* z (/ t 16.0)) (* z (/ t 16.0)))) (- (* x y) (* z (/ t 16.0))))

simplify2.4s

Counts
142 → 142
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01823072
15472665
234062031
done50022009

prune475.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 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)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×add-cube-cbrt *-un-lft-identity sqrt-div
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×flip3-+ swap-sqr flip-+
6×associate-*r* associate-*l*
5×pow-prod-up
4×frac-times add-log-exp unswap-sqr
3×times-frac pow-prod-down associate-/r* pow-sqr
2×cbrt-undiv rem-sqrt-square associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num rem-square-sqrt *-commutative div-inv associate-/l*
Counts
4 → 108
Calls
4 calls:
11.0ms
(/ (* z t) 16.0)
74.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
20.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
28.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))

series352.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* z t) 16.0)
58.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
133.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
136.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))

simplify1.3s

Counts
120 → 120
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01452480
13551779
216331633
done50001582

prune565.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes767.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
12217
done2217

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.5s11810×body80valid