Details

Time bar (total: 14.9s)

sample61.0ms

Algorithm
intervals
Results
30.0ms339×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 5 (196.0ms)

IterNodesCost
01417
12517
24916
310616
422816
539215
6104715
7477415
done500015

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize23.0ms

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)))
7.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite137.0ms

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:
40.0ms
(* (* z 2.0) (- 1.0 t))
45.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
48.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series263.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (* z 2.0) (- 1.0 t))
100.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
109.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.3s

Counts
108 → 108
Iterations

Useful iterations: 2 (657.0ms)

IterNodesCost
01941833
15981600
234631324
done50011324

prune484.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite266.0ms

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:
179.0ms
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
70.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
11.0ms
(/ 2.0 (* t z))

series153.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
38.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
27.0ms
(/ 2.0 (* t z))

simplify1.9s

Counts
136 → 136
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02502265
16992005
229491850
done50021784

prune596.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:
19.0ms
(+ (/ x y) (fma (/ 1 t) (/ 2.0 z) (- (/ 2.0 t) 2.0)))
0.0ms
(fma (/ 1 t) (/ 2.0 z) (- (/ 2.0 t) 2.0))

series180.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(+ (/ x y) (fma (/ 1 t) (/ 2.0 z) (- (/ 2.0 t) 2.0)))
71.0ms
(fma (/ 1 t) (/ 2.0 z) (- (/ 2.0 t) 2.0))

simplify595.0ms

Counts
44 → 44
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
054615
1136569
2510492
done5000492

prune269.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.1b
(fma x (/ 1 y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
0.2b
(/ 2.0 (* t z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
41×add-sqr-sqrt add-cube-cbrt associate-+r+
39×prod-diff
33×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
7×fma-def
5×div-inv
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp frac-add sum-log distribute-lft-out
1×+-commutative associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod flip-+ fma-udef distribute-lft-out--
Counts
3 → 100
Calls
3 calls:
89.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.0ms
(fma x (/ 1 y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
8.0ms
(/ 2.0 (* t z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
91.0ms
(fma x (/ 1 y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
46.0ms
(/ 2.0 (* t z))

simplify1.5s

Counts
109 → 109
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02211775
15541585
221621394
done50001328

prune416.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11716
done1716

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10378×body80valid