Details

Time bar (total: 15.0s)

sample24.0ms

Algorithm
intervals
Results
8.0ms288×body80valid
1.0ms8×body640valid
1.0ms4×body1280valid
0.0ms8×body160valid
0.0ms4×body320valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01213
12113
25112
317212
447712
5115212
6270812
done500012

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
118×*-un-lft-identity
117×prod-diff
114×add-cube-cbrt
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube add-log-exp
4×difference-of-squares
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 186
Calls
3 calls:
22.0ms
(- (/ 2.0 3.0) z)
60.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series131.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (/ 2.0 3.0) z)
42.0ms
(* 6.0 (- (/ 2.0 3.0) z))
65.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify1.9s

Counts
195 → 195
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune275.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
21.0ms
(* (- y x) 6.0)
27.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
79.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series187.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 2.0 3.0) z)
32.0ms
(* (- y x) 6.0)
78.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
50.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.2s

Counts
316 → 316
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04007667
19226190
229745410
done50014990

prune629.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- (pow (cbrt (/ 2.0 3.0)) 3) z) 6.0)
0.2b
(fma (* (- (pow (cbrt (/ 2.0 3.0)) 3) z) 6.0) (- y x) x)
1.0b
(pow (cbrt (/ 2.0 3.0)) 3)

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
30×cbrt-prod
29×*-un-lft-identity
25×add-cube-cbrt
20×times-frac
19×unpow-prod-down cube-prod
17×associate-*l*
9×pow1 add-exp-log difference-of-squares
8×add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×pow-unpow
2×flip3-- pow-pow pow-prod-down prod-exp *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr sqr-pow
1×cube-div cube-mult pow-to-exp cbrt-div pow1/3 unpow3 pow-exp fma-udef rem-cube-cbrt
Counts
4 → 118
Calls
4 calls:
21.0ms
(* (- y x) 6.0)
206.0ms
(* (- (pow (cbrt (/ 2.0 3.0)) 3) z) 6.0)
0.0ms
(fma (* (- (pow (cbrt (/ 2.0 3.0)) 3) z) 6.0) (- y x) x)
8.0ms
(pow (cbrt (/ 2.0 3.0)) 3)

series145.0ms

Counts
4 → 10
Calls
4 calls:
33.0ms
(* (- y x) 6.0)
51.0ms
(* (- (pow (cbrt (/ 2.0 3.0)) 3) z) 6.0)
62.0ms
(fma (* (- (pow (cbrt (/ 2.0 3.0)) 3) z) 6.0) (- y x) x)
0.0ms
(pow (cbrt (/ 2.0 3.0)) 3)

simplify961.0ms

Counts
128 → 128
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
02231576
15251156
214491052
done50011044

prune416.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- z))
0.4b
(fma (/ 2.0 3.0) (* (- y x) 6.0) x)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×pow1 add-exp-log add-cbrt-cube
11×add-cube-cbrt associate-*l*
8×associate-*l/
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in flip3-- distribute-rgt-neg-in *-commutative flip--
2×distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out fma-udef
Counts
4 → 88
Calls
4 calls:
21.0ms
(* (- y x) 6.0)
24.0ms
(* (- y x) 6.0)
38.0ms
(* (* (- y x) 6.0) (- z))
0.0ms
(fma (/ 2.0 3.0) (* (- y x) 6.0) x)

series165.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- y x) 6.0)
32.0ms
(* (- y x) 6.0)
37.0ms
(* (* (- y x) 6.0) (- z))
56.0ms
(fma (/ 2.0 3.0) (* (- y x) 6.0) x)

simplify1.1s

Counts
100 → 100
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0116914
1280876
21142770
done5000753

prune255.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
12116
22516
33216
done3216

end0.0ms

sample652.0ms

Algorithm
intervals
Results
292.0ms9457×body80valid
27.0ms261×body640valid
18.0ms138×body1280valid
15.0ms190×body320valid
6.0ms102×body160valid