Details

Time bar (total: 17.2s)

sample48.0ms

Algorithm
intervals
Results
22.0ms315×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 5 (134.0ms)

IterNodesCost
01417
12517
24916
310616
422816
539215
6104715
7477415
done500015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
12.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite106.0ms

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:
33.0ms
(* (* z 2.0) (- 1.0 t))
33.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
37.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series177.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (* z 2.0) (- 1.0 t))
54.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
69.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.1s

Counts
108 → 108
Iterations

Useful iterations: 2 (592.0ms)

IterNodesCost
01941833
15981600
234631324
done50011324

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.5b
(/ 2.0 (* t z))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
48×add-sqr-sqrt add-cube-cbrt
42×associate-+r+ times-frac
39×prod-diff
20×fma-def
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 → 127
Calls
3 calls:
198.0ms
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
81.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
11.0ms
(/ 2.0 (* t z))

series159.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
44.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
30.0ms
(/ 2.0 (* t z))

simplify1.7s

Counts
136 → 136
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02502265
16992005
229491850
done50021784

prune437.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite431.0ms

Algorithm
rewrite-expression-head
Rules
177×times-frac
135×*-un-lft-identity
121×add-sqr-sqrt add-cube-cbrt
56×fma-def
42×associate-+r+
39×prod-diff
17×add-log-exp
13×div-inv 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 → 212
Calls
3 calls:
271.0ms
(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
125.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
23.0ms
(/ (/ 2.0 t) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
34.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
23.0ms
(/ (/ 2.0 t) z)

simplify1.9s

Counts
221 → 221
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03332930
19052620
241302486
done50002484

prune930.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0)))
0.1b
(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×fma-def
11×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt times-frac
4×add-log-exp
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×+-commutative associate-+r+ flip3-+ sum-log flip-+ div-inv distribute-lft-out
Counts
2 → 38
Calls
2 calls:
23.0ms
(+ (/ x y) (fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0)))
1.0ms
(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

series123.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(+ (/ x y) (fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0)))
39.0ms
(fma (/ 2.0 t) (/ 1 z) (- (/ 2.0 t) 2.0))

simplify3.5s

Counts
44 → 44
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
054615
1137569
2513492
34880492
done5000492

prune167.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10475×body80valid