Details

Time bar (total: 43.9s)

sample75.0ms

Algorithm
intervals
Results
36.0ms325×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5003
71501
6454
5215
4152
392
244
125
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize102.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
11×*-un-lft-identity
9×add-sqr-sqrt pow1
8×add-log-exp
7×add-cube-cbrt
5×associate-*r*
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in prod-exp cbrt-unprod insert-posit16
3×flip3-+ times-frac pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative sum-log div-exp associate-*r/ associate-/l/
1×clear-num associate-/r* frac-2neg flip3-- associate-*l* frac-add *-commutative div-inv flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
78.0ms
(* (* z 2.0) (- 1.0 t))
14.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
110.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
82.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series351.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* z 2.0) (- 1.0 t))
73.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
100.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
96.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5005
21684
1453
0154

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
77×times-frac
66×*-un-lft-identity
48×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/l*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
6×sum-log
5×div-inv
4×pow1 diff-log insert-posit16 distribute-lft-out--
3×cbrt-undiv associate-+r+ associate-/r* div-exp frac-add
2×+-commutative sub-neg flip3-+ flip3-- associate--l+ flip-+ flip--
1×clear-num associate-+r- frac-2neg difference-of-squares associate-/l/
Counts
4 → 127
Calls
4 calls:
848.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0)
104.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
1.5s
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
45.0ms
(/ (/ 2.0 t) z)

series290.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0)
99.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
89.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
31.0ms
(/ (/ 2.0 t) z)

simplify4.2s

Counts
139 → 139
Iterations
IterNodes
done5003
21965
1621
0242

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t)) 2.0)
0.0b
(+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t))
0.0b
(+ (/ x y) (- (+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t)) 2.0))
0.3b
(* (/ 2.0 t) (/ 1 z))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
27×*-un-lft-identity
26×add-exp-log
25×times-frac
20×add-log-exp
18×add-cube-cbrt
16×add-cbrt-cube
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×pow1 sum-log frac-add unswap-sqr
4×cbrt-undiv diff-log cbrt-unprod insert-posit16
3×associate-+r+
2×frac-times +-commutative rec-exp sub-neg flip3-+ flip3-- 1-exp associate-*l/ associate--l+ associate-*r/ un-div-inv flip-+ div-inv flip-- distribute-lft-out distribute-lft-out--
1×associate-+r- pow-prod-down *-commutative difference-of-squares
Counts
4 → 113
Calls
4 calls:
347.0ms
(- (+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t)) 2.0)
66.0ms
(+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t))
692.0ms
(+ (/ x y) (- (+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t)) 2.0))
80.0ms
(* (/ 2.0 t) (/ 1 z))

series267.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t)) 2.0)
80.0ms
(+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t))
94.0ms
(+ (/ x y) (- (+ (* (/ 2.0 t) (/ 1 z)) (/ 2.0 t)) 2.0))
29.0ms
(* (/ 2.0 t) (/ 1 z))

simplify4.6s

Counts
125 → 125
Iterations
IterNodes
done5001
22269
1648
0218

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
9.1b
(cbrt (/ (/ 2.0 t) z))
9.1b
(cbrt (/ (/ 2.0 t) z))
9.1b
(cbrt (/ (/ 2.0 t) z))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×*-un-lft-identity add-cube-cbrt
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 335
Calls
4 calls:
152.0ms
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
21.0ms
(cbrt (/ (/ 2.0 t) z))
14.0ms
(cbrt (/ (/ 2.0 t) z))
11.0ms
(cbrt (/ (/ 2.0 t) z))

series941.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
256.0ms
(cbrt (/ (/ 2.0 t) z))
206.0ms
(cbrt (/ (/ 2.0 t) z))
201.0ms
(cbrt (/ (/ 2.0 t) z))

simplify7.3s

Counts
347 → 347
Iterations
IterNodes
done5000
33502
21524
1732
0425

prune5.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s10338×body80valid