Details

Time bar (total: 15.4s)

sample44.0ms

Algorithm
intervals
Results
24.0ms336×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5005
71596
6565
5286
4200
399
247
125
014

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
0.0b
(/ (fma z 1.0 1) z)
0.1b
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
9×times-frac prod-diff
5×add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u pow1 associate-/r* fma-neg insert-posit16 log1p-expm1-u associate-/l*
2×fma-udef
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp associate--l+ div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 71
Calls
3 calls:
8.0ms
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
6.0ms
(/ (fma z 1.0 1) z)
0.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series304.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
102.0ms
(/ (fma z 1.0 1) z)
105.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify1.9s

Counts
80 → 80
Iterations
IterNodes
done5002
31956
2618
1257
0131

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite692.0ms

Algorithm
rewrite-expression-head
Rules
140×*-un-lft-identity
103×times-frac
66×add-sqr-sqrt
64×add-cube-cbrt
32×distribute-lft-out
20×add-log-exp
18×fma-def prod-diff
13×associate-/l*
9×add-cbrt-cube add-exp-log
7×sum-log
6×fma-neg div-inv
5×frac-add
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-+ diff-log div-exp flip-+ distribute-lft-out--
2×+-commutative
1×associate-+l+ clear-num sub-neg frac-2neg flip3-- associate--l+ flip-- difference-of-squares associate-/l/
Counts
4 → 176
Calls
4 calls:
571.0ms
(- (+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (/ x y)) 2.0)
91.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (/ x y))
17.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
7.0ms
(/ (/ 2.0 t) z)

series274.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (/ x y)) 2.0)
83.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (/ x y))
72.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
33.0ms
(/ (/ 2.0 t) z)

simplify1.4s

Counts
188 → 188
Iterations
IterNodes
done5018
22087
1681
0275

prune737.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 t) (* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z)))
0.2b
(/ (/ (sqrt 2.0) t) z)
0.3b
(* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z))
0.4b
(/ (sqrt 2.0) t)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
295×times-frac
191×add-sqr-sqrt
165×*-un-lft-identity add-cube-cbrt
84×sqrt-prod
70×associate-*r*
28×associate-/l*
20×add-cbrt-cube add-exp-log
13×fma-def
11×div-inv
8×unswap-sqr
7×cbrt-undiv div-exp
6×pow1 associate-/r* associate-*l* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*r/
1×+-commutative sum-log flip3-+ pow-prod-down frac-add *-commutative flip-+ associate-/l/
Counts
4 → 282
Calls
4 calls:
13.0ms
(+ (/ 2.0 t) (* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z)))
8.0ms
(/ (/ (sqrt 2.0) t) z)
24.0ms
(* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z))
10.0ms
(/ (sqrt 2.0) t)

series319.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (/ 2.0 t) (* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z)))
46.0ms
(/ (/ (sqrt 2.0) t) z)
87.0ms
(* (sqrt 2.0) (/ (/ (sqrt 2.0) t) z))
74.0ms
(/ (sqrt 2.0) t)

simplify1.3s

Counts
294 → 294
Iterations
IterNodes
done5006
22808
1853
0326

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (+ (/ 2.0 t) (/ 2.0 (* z t))) (/ x y)) 2.0)
0.0b
(+ (+ (/ 2.0 t) (/ 2.0 (* z t))) (/ x y))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* z t)))
0.9b
(/ 2.0 (* z t))

rewrite680.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity
29×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt
23×fma-def
22×distribute-lft-out
20×add-log-exp
15×prod-diff
9×add-cbrt-cube add-exp-log
8×distribute-rgt-out
7×sum-log
6×div-inv
5×fma-neg frac-add
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×flip3-+ diff-log flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv +-commutative div-exp distribute-rgt1-in
1×associate-+l+ clear-num associate-/r* sub-neg frac-2neg flip3-- prod-exp associate--l+ cbrt-unprod flip-- difference-of-squares
Counts
4 → 132
Calls
4 calls:
545.0ms
(- (+ (+ (/ 2.0 t) (/ 2.0 (* z t))) (/ x y)) 2.0)
107.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* z t))) (/ x y))
17.0ms
(+ (/ 2.0 t) (/ 2.0 (* z t)))
10.0ms
(/ 2.0 (* z t))

series190.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (+ (+ (/ 2.0 t) (/ 2.0 (* z t))) (/ x y)) 2.0)
56.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* z t))) (/ x y))
52.0ms
(+ (/ 2.0 t) (/ 2.0 (* z t)))
23.0ms
(/ 2.0 (* z t))

simplify1.0s

Counts
144 → 144
Iterations
IterNodes
done5008
21624
1468
0181

prune629.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10488×body80valid