Details

Time bar (total: 19.0s)

sample52.0ms

Algorithm
intervals
Results
26.0ms320×body80valid

simplify2.6s

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite17.0ms

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 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 → 68
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)
1.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series247.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
70.0ms
(/ (fma z 1.0 1) z)
104.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify2.1s

Counts
77 → 77
Iterations
IterNodes
done5000
31743
2569
1255
0128

prune431.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

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 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 → 172
Calls
4 calls:
1.8s
(- (+ (+ (/ x y) (/ (/ 2.0 t) z)) (/ 2.0 t)) 2.0)
342.0ms
(+ (+ (/ x y) (/ (/ 2.0 t) z)) (/ 2.0 t))
64.0ms
(+ (/ x y) (/ (/ 2.0 t) z))
9.0ms
(/ (/ 2.0 t) z)

series169.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (+ (+ (/ x y) (/ (/ 2.0 t) z)) (/ 2.0 t)) 2.0)
48.0ms
(+ (+ (/ x y) (/ (/ 2.0 t) z)) (/ 2.0 t))
33.0ms
(+ (/ x y) (/ (/ 2.0 t) z))
25.0ms
(/ (/ 2.0 t) z)

simplify1.5s

Counts
184 → 184
Iterations
IterNodes
done5001
22056
1681
0273

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (+ (/ x y) (/ 2.0 (* z t))) (/ 2.0 t)) 2.0)
0.0b
(+ (+ (/ x y) (/ 2.0 (* z t))) (/ 2.0 t))
0.0b
(+ (/ x y) (/ 2.0 (* z t)))
0.6b
(/ 2.0 (* z t))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
25×add-sqr-sqrt
23×add-cube-cbrt
20×distribute-lft-out add-log-exp
17×fma-def
15×prod-diff
12×times-frac
9×add-cbrt-cube add-exp-log
7×sum-log
5×fma-neg frac-add
4×expm1-log1p-u pow1 log1p-expm1-u
3×flip3-+ diff-log flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv +-commutative div-exp div-inv
1×associate-+l+ clear-num associate-/r* sub-neg frac-2neg flip3-- prod-exp associate--l+ cbrt-unprod flip-- difference-of-squares
Counts
4 → 116
Calls
4 calls:
889.0ms
(- (+ (+ (/ x y) (/ 2.0 (* z t))) (/ 2.0 t)) 2.0)
140.0ms
(+ (+ (/ x y) (/ 2.0 (* z t))) (/ 2.0 t))
18.0ms
(+ (/ x y) (/ 2.0 (* z t)))
7.0ms
(/ 2.0 (* z t))

series171.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (+ (+ (/ x y) (/ 2.0 (* z t))) (/ 2.0 t)) 2.0)
49.0ms
(+ (+ (/ x y) (/ 2.0 (* z t))) (/ 2.0 t))
33.0ms
(+ (/ x y) (/ 2.0 (* z t)))
21.0ms
(/ 2.0 (* z t))

simplify1.3s

Counts
128 → 128
Iterations
IterNodes
done5002
21513
1445
0168

prune548.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (/ x y) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))) (/ 2.0 t))
0.0b
(+ (/ x y) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))))
0.4b
(/ (* z t) (sqrt 2.0))
0.7b
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

rewrite517.0ms

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 log1p-expm1-u
3×flip3-+ flip-+
2×+-commutative clear-num frac-2neg prod-exp cbrt-unprod
1×associate-+l+ associate-/r/
Counts
4 → 179
Calls
4 calls:
411.0ms
(+ (+ (/ x y) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))) (/ 2.0 t))
67.0ms
(+ (/ x y) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))))
12.0ms
(/ (* z t) (sqrt 2.0))
17.0ms
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(+ (+ (/ x y) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))) (/ 2.0 t))
100.0ms
(+ (/ x y) (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))))
89.0ms
(/ (* z t) (sqrt 2.0))
86.0ms
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

simplify1.6s

Counts
191 → 191
Iterations
IterNodes
done5004
22254
1649
0240

prune878.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes333.0ms

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
done15
115
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10452×body80valid