Details

Time bar (total: 32.1s)

sample87.0ms

Algorithm
intervals
Results
41.0ms325×body80valid

simplify4.4s

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify4.4s

Counts
14 → 14
Iterations
IterNodes
done5001
41323
3374
2143
155
030

prune256.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 3 expressions with local error:

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

rewrite490.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
76×*-un-lft-identity
53×add-sqr-sqrt add-cube-cbrt
18×fma-def
13×associate-/l*
10×add-log-exp
9×distribute-lft-out
8×add-cbrt-cube add-exp-log
6×div-inv
5×frac-add
4×sum-log
3×expm1-log1p-u pow1 cbrt-undiv associate-/r* flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u
2×+-commutative
1×associate-+l+ clear-num frac-2neg associate-/l/
Counts
3 → 130
Calls
3 calls:
66.0ms
(+ (/ 2.0 t) (/ x y))
384.0ms
(+ (+ (/ 2.0 t) (/ x y)) (/ (/ 2.0 t) z))
23.0ms
(/ (/ 2.0 t) z)

series203.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (/ 2.0 t) (/ x y))
99.0ms
(+ (+ (/ 2.0 t) (/ x y)) (/ (/ 2.0 t) z))
48.0ms
(/ (/ 2.0 t) z)

simplify3.4s

Counts
139 → 139
Iterations
IterNodes
done5001
21771
1558
0225

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 3 expressions with local error:

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

rewrite705.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
18×fma-def
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×frac-add
4×sum-log
3×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative div-exp div-inv
1×associate-+l+ clear-num associate-/r* frac-2neg prod-exp cbrt-unprod
Counts
3 → 80
Calls
3 calls:
52.0ms
(+ (/ 2.0 t) (/ x y))
629.0ms
(+ (+ (/ 2.0 t) (/ x y)) (/ 2.0 (* z t)))
16.0ms
(/ 2.0 (* z t))

series185.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (/ 2.0 t) (/ x y))
85.0ms
(+ (+ (/ 2.0 t) (/ x y)) (/ 2.0 (* z t)))
45.0ms
(/ 2.0 (* z t))

simplify3.0s

Counts
89 → 89
Iterations
IterNodes
done5000
21314
1335
0125

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize190.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 t) (/ x y))
0.0b
(+ (+ (/ 2.0 t) (/ x y)) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))))
0.4b
(/ (* z t) (sqrt 2.0))
0.5b
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

rewrite580.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
82×*-un-lft-identity
60×sqrt-prod
59×add-sqr-sqrt add-cube-cbrt
18×fma-def add-cbrt-cube add-exp-log
16×associate-/r*
11×add-log-exp
10×div-inv
9×distribute-lft-out
7×cbrt-undiv div-exp associate-/l*
5×frac-add
4×expm1-log1p-u pow1 sum-log insert-posit16 log1p-expm1-u
3×flip3-+ flip-+
2×+-commutative clear-num frac-2neg prod-exp cbrt-unprod
1×associate-+l+ associate-/r/
Counts
4 → 183
Calls
4 calls:
55.0ms
(+ (/ 2.0 t) (/ x y))
396.0ms
(+ (+ (/ 2.0 t) (/ x y)) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))))
49.0ms
(/ (* z t) (sqrt 2.0))
61.0ms
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

series480.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (/ 2.0 t) (/ x y))
201.0ms
(+ (+ (/ 2.0 t) (/ x y)) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))))
103.0ms
(/ (* z t) (sqrt 2.0))
118.0ms
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

simplify4.7s

Counts
195 → 195
Iterations
IterNodes
done5000
22285
1660
0244

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10338×body80valid