Details

Time bar (total: 20.5s)

sample46.0ms

Algorithm
intervals
Results
24.0ms344×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (163.0ms)

IterNodesCost
014326
125326
249301
3106301
4228301
5403277
61065277
74902277
done5000277

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
8.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
18×prod-diff
13×fma-def add-cbrt-cube add-exp-log
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-+ div-exp associate-*r/ flip-+ div-inv associate-/l/
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-- associate-*l* frac-add *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 99
Calls
3 calls:
27.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
25.0ms
(* (* z 2.0) (- 1.0 t))
22.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series236.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
70.0ms
(* (* z 2.0) (- 1.0 t))
80.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: done (2.0s)

IterNodesCost
019333300
158930147
2337225194
done500025098

prune563.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-cube-cbrt
18×prod-diff
13×fma-def
12×associate-+r+
10×add-log-exp
9×times-frac
3×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log fma-udef log1p-expm1-u
2×sum-log sub-neg flip3-- diff-log frac-add associate--l+ flip-- distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip-+ div-inv difference-of-squares
Counts
3 → 83
Calls
3 calls:
5.0ms
(- (fma (/ 2.0 t) (/ 1 z) (/ 2.0 t)) 2.0)
28.0ms
(+ (/ x y) (- (fma (/ 2.0 t) (/ 1 z) (/ 2.0 t)) 2.0))
0.0ms
(fma (/ 2.0 t) (/ 1 z) (/ 2.0 t))

series221.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (fma (/ 2.0 t) (/ 1 z) (/ 2.0 t)) 2.0)
91.0ms
(+ (/ x y) (- (fma (/ 2.0 t) (/ 1 z) (/ 2.0 t)) 2.0))
66.0ms
(fma (/ 2.0 t) (/ 1 z) (/ 2.0 t))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: done (1.4s)

IterNodesCost
012027523
131324700
2103420418
done500120111

prune564.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
179×*-un-lft-identity
168×add-sqr-sqrt
163×add-cube-cbrt
78×prod-diff
56×fma-def
42×associate-+r+
20×add-log-exp
17×div-inv
13×fma-neg associate-/l*
9×add-cbrt-cube add-exp-log
8×frac-add
7×sum-log distribute-lft-out
4×expm1-log1p-u pow1 log1p-expm1-u
3×cbrt-undiv associate-+r- associate-/r* flip3-+ flip3-- diff-log div-exp flip-+ flip-- distribute-lft-out--
2×+-commutative sub-neg difference-of-squares
1×clear-num frac-2neg associate-/l/
Counts
4 → 281
Calls
4 calls:
38.0ms
(- (/ 2.0 t) 2.0)
104.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
252.0ms
(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
9.0ms
(/ (/ 2.0 t) z)

series213.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (/ 2.0 t) 2.0)
50.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
84.0ms
(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
28.0ms
(/ (/ 2.0 t) z)

simplify2.2s

Counts
293 → 293
Iterations

Useful iterations: done (2.2s)

IterNodesCost
035181520
193372316
2424062265
done500061019

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
8.1b
(cbrt (/ (/ 2.0 t) z))
8.1b
(cbrt (/ (/ 2.0 t) z))
8.1b
(cbrt (/ (/ 2.0 t) z))

rewrite154.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 339
Calls
4 calls:
103.0ms
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
7.0ms
(cbrt (/ (/ 2.0 t) z))
7.0ms
(cbrt (/ (/ 2.0 t) z))
7.0ms
(cbrt (/ (/ 2.0 t) z))

series490.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (cbrt (/ (/ 2.0 t) z)) (cbrt (/ (/ 2.0 t) z)))
104.0ms
(cbrt (/ (/ 2.0 t) z))
105.0ms
(cbrt (/ (/ 2.0 t) z))
142.0ms
(cbrt (/ (/ 2.0 t) z))

simplify2.5s

Counts
351 → 351
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0427170079
1760162054
23012160971
done5000160091

prune2.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes611.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011245
113245
done13245

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10495×body80valid