Details

Time bar (total: 18.6s)

sample49.0ms

Algorithm
intervals
Results
19.0ms293×body80valid
2.0ms9×body640valid
2.0ms9×body320valid
0.0ms5×body160valid
0.0ms1×body1280valid

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (21.0ms)

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)

rewrite129.0ms

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:
31.0ms
(- (/ 2.0 3.0) z)
84.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series157.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (/ 2.0 3.0) z)
64.0ms
(* 6.0 (- (/ 2.0 3.0) z))
62.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.2s

Counts
195 → 195
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune329.0ms

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
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
0.0b
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
0.1b
(fma (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))) x)
1.0b
(/ 2.0 (cbrt 3.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac
12×cbrt-prod
8×add-exp-log
7×add-cbrt-cube
6×pow1 associate-/r*
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/l*
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
7.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
0.0ms
(fma (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))) x)
6.0ms
(/ 2.0 (cbrt 3.0))

series638.0ms

Counts
4 → 10
Calls
4 calls:
249.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
213.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
175.0ms
(fma (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))) x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01381370
12411343
25471106
317421102
done5000786

prune440.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
129×prod-diff
122×add-sqr-sqrt
114×*-un-lft-identity
108×add-cube-cbrt
99×distribute-rgt-in distribute-lft-in
44×associate-+l+
38×times-frac
13×fma-neg
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
9×associate-*l*
8×flip3-- flip-- add-log-exp
6×associate-*r*
5×difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv
3×distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 248
Calls
4 calls:
39.0ms
(- (/ 2.0 3.0) z)
90.0ms
(+ (* (- (/ 2.0 3.0) z) (* 6.0 (- y x))) x)
31.0ms
(* 6.0 (- y x))
116.0ms
(* (- (/ 2.0 3.0) z) (* 6.0 (- y x)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (/ 2.0 3.0) z)
88.0ms
(+ (* (- (/ 2.0 3.0) z) (* 6.0 (- y x))) x)
52.0ms
(* 6.0 (- y x))
67.0ms
(* (- (/ 2.0 3.0) z) (* 6.0 (- y x)))

simplify1.4s

Counts
260 → 260
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03555404
18094225
221963632
done50023470

prune589.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
62×*-un-lft-identity
58×add-cube-cbrt
57×prod-diff
37×times-frac
13×fma-neg
11×distribute-rgt-in distribute-lft-in
5×pow1 add-exp-log associate-*r* add-cbrt-cube add-log-exp
4×div-inv
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u difference-of-squares
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 → 125
Calls
3 calls:
35.0ms
(- (/ 2.0 3.0) z)
33.0ms
(* 6.0 (- y x))
0.0ms
(fma (- (/ 2.0 3.0) z) (* 6.0 (- y x)) x)

series129.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* 6.0 (- y x))
69.0ms
(fma (- (/ 2.0 3.0) z) (* 6.0 (- y x)) x)

simplify2.2s

Counts
134 → 134
Iterations

Useful iterations: 3 (859.0ms)

IterNodesCost
02362242
14671693
29941399
336091204
done50001204

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01621
11921
done1921

end0.0ms

sample1.3s

Algorithm
intervals
Results
636.0ms9440×body80valid
87.0ms263×body640valid
56.0ms132×body1280valid
30.0ms198×body320valid
11.0ms106×body160valid