Details

Time bar (total: 13.5s)

sample36.0ms

Algorithm
intervals
Results
14.0ms302×body80valid
1.0ms8×body640valid
1.0ms4×body1280valid
1.0ms6×body320valid
0.0ms2×body160valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01213
12113
25112
317212
458612
5204212
done500112

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)

rewrite136.0ms

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:
42.0ms
(- (/ 2.0 3.0) z)
67.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series173.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (/ 2.0 3.0) z)
60.0ms
(* 6.0 (- (/ 2.0 3.0) z))
82.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify986.0ms

Counts
195 → 195
Iterations

Useful iterations: done (976.0ms)

IterNodesCost
02574364
15633284
217202739
done50002487

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out add-cbrt-cube log1p-expm1-u
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
19.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
1.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series134.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
80.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify2.3s

Counts
33 → 33
Iterations

Useful iterations: 3 (845.0ms)

IterNodesCost
059491
1171395
2671351
33649341
done5000341

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

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:
36.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
34.0ms
(* (- y x) 6.0)
32.0ms
(- (/ 2.0 3.0) z)
105.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series186.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
34.0ms
(* (- y x) 6.0)
27.0ms
(- (/ 2.0 3.0) z)
58.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify805.0ms

Counts
316 → 316
Iterations

Useful iterations: done (788.0ms)

IterNodesCost
04007667
111046229
done50005461

prune897.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×add-cube-cbrt
6×associate-*l* associate-*l/ add-log-exp
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in fma-def distribute-rgt-neg-in distribute-rgt-neg-out
2×flip3-- *-commutative flip-- fma-udef
1×+-commutative neg-mul-1 associate-+l+ flip3-+ unsub-neg sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma (- y x) (* 6.0 (/ 2.0 3.0)) x)
8.0ms
(+ (fma (- y x) (* 6.0 (/ 2.0 3.0)) x) (* (* (- y x) 6.0) (- z)))
25.0ms
(* (- y x) 6.0)
51.0ms
(* (* (- y x) 6.0) (- z))

series255.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (- y x) (* 6.0 (/ 2.0 3.0)) x)
107.0ms
(+ (fma (- y x) (* 6.0 (/ 2.0 3.0)) x) (* (* (- y x) 6.0) (- z)))
47.0ms
(* (- y x) 6.0)
58.0ms
(* (* (- y x) 6.0) (- z))

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01401165
13701086
21908982
done5000974

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
12019
22419
33119
done3119

end0.0ms

sample1.2s

Algorithm
intervals
Results
588.0ms9473×body80valid
96.0ms142×body1280valid
53.0ms284×body640valid
29.0ms203×body320valid
11.0ms116×body160valid