Details

Time bar (total: 17.4s)

sample69.0ms

Algorithm
intervals
Results
32.0ms327×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 5 (227.0ms)

IterNodesCost
01417
12517
24916
310616
422816
539215
6104715
7477415
done500015

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
8.2b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
18×prod-diff
13×add-exp-log fma-def add-cbrt-cube
12×times-frac
11×distribute-rgt-in distribute-lft-in
8×pow1
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-+ associate-*r/ div-exp flip-+ div-inv associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 99
Calls
3 calls:
42.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
55.0ms
(* (* z 2.0) (- 1.0 t))
46.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series219.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
80.0ms
(* (* z 2.0) (- 1.0 t))
70.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.4s

Counts
108 → 108
Iterations

Useful iterations: 2 (677.0ms)

IterNodesCost
01941833
15921600
233781328
done50011328

prune605.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
0.0b
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
0.4b
(/ 2.0 (* t z))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
32×add-sqr-sqrt add-cube-cbrt
30×times-frac
26×fma-def
24×associate-+r+
21×prod-diff
17×add-log-exp
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
6×div-inv
3×pow1 expm1-log1p-u associate-+r- flip3-+ flip-+ log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative flip3-- diff-log div-exp flip-- distribute-lft-out--
1×sub-neg frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
3 → 115
Calls
3 calls:
246.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
98.0ms
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
14.0ms
(/ 2.0 (* t z))

series168.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
48.0ms
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
23.0ms
(/ 2.0 (* t z))

simplify1.2s

Counts
124 → 124
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01931842
15771654
224611538
done50021502

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
0.0b
(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
0.2b
(/ (/ 2.0 t) z)

rewrite751.0ms

Algorithm
rewrite-expression-head
Rules
291×times-frac
221×*-un-lft-identity
207×add-sqr-sqrt add-cube-cbrt
132×associate-+r+
129×prod-diff
26×fma-def
19×div-inv
17×add-log-exp
13×associate-/l*
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
3×pow1 cbrt-undiv expm1-log1p-u associate-+r- flip3-+ div-exp associate-/r* flip-+ log1p-expm1-u
2×+-commutative flip3-- diff-log flip-- distribute-lft-out--
1×sub-neg frac-2neg clear-num associate-/l/
Counts
3 → 272
Calls
3 calls:
436.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
258.0ms
(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
23.0ms
(/ (/ 2.0 t) z)

series171.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0)))
56.0ms
(+ (/ 2.0 t) (- (/ (/ 2.0 t) z) 2.0))
30.0ms
(/ (/ 2.0 t) z)

simplify749.0ms

Counts
281 → 281
Iterations

Useful iterations: done (736.0ms)

IterNodesCost
05135534
113034804
done50004537

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (+ (+ (fma (/ 2.0 t) (/ 1 z) (- 2.0)) (/ 2.0 t)) (fma (- 2.0) 1 (* 2.0 1))))
0.0b
(+ (fma (/ 2.0 t) (/ 1 z) (- 2.0)) (/ 2.0 t))
0.2b
(fma (/ 2.0 t) (/ 1 z) (- 2.0))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×fma-def
14×add-log-exp
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×sum-log distribute-lft-out
3×pow1 add-exp-log expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative frac-add fma-udef
1×associate-+l+ associate-+r+ div-inv
Counts
3 → 62
Calls
3 calls:
243.0ms
(+ (/ x y) (+ (+ (fma (/ 2.0 t) (/ 1 z) (- 2.0)) (/ 2.0 t)) (fma (- 2.0) 1 (* 2.0 1))))
21.0ms
(+ (fma (/ 2.0 t) (/ 1 z) (- 2.0)) (/ 2.0 t))
1.0ms
(fma (/ 2.0 t) (/ 1 z) (- 2.0))

series215.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(+ (/ x y) (+ (+ (fma (/ 2.0 t) (/ 1 z) (- 2.0)) (/ 2.0 t)) (fma (- 2.0) 1 (* 2.0 1))))
51.0ms
(+ (fma (/ 2.0 t) (/ 1 z) (- 2.0)) (/ 2.0 t))
55.0ms
(fma (/ 2.0 t) (/ 1 z) (- 2.0))

simplify866.0ms

Counts
71 → 71
Iterations

Useful iterations: done (864.0ms)

IterNodesCost
01041462
13241290
214171065
done50021064

prune435.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes499.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s10459×body80valid