Details

Time bar (total: 26.0s)

sample26.0ms

Algorithm
intervals
Results
12.0ms314×body80valid
1.0ms8×body640valid
1.0ms5×body1280valid
1.0ms6×body320valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

localize11.0ms

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)

rewrite116.0ms

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:
27.0ms
(- (/ 2.0 3.0) z)
71.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series159.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- (/ 2.0 3.0) z)
59.0ms
(* 6.0 (- (/ 2.0 3.0) z))
72.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.1s

Counts
195 → 195
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune331.0ms

Pruning

6 alts after pruning (6 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 (- (/ 2.0 3.0) z))) x)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
429×prod-diff
402×add-sqr-sqrt
394×*-un-lft-identity
388×add-cube-cbrt
369×distribute-rgt-in distribute-lft-in
308×times-frac
164×associate-+l+
34×div-inv
13×fma-neg
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×flip3-- associate-*l* flip-- add-log-exp
7×associate-*r*
5×difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 548
Calls
4 calls:
37.0ms
(- (/ 2.0 3.0) z)
136.0ms
(+ (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))) x)
81.0ms
(* 6.0 (- (/ 2.0 3.0) z))
104.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 2.0 3.0) z)
76.0ms
(+ (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))) x)
47.0ms
(* 6.0 (- (/ 2.0 3.0) z))
47.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts
560 → 560
Iterations

Useful iterations: done (1.6s)

IterNodesCost
050914686
1105410985
226069532
done50008938

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.3s

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
18×times-frac
13×add-exp-log add-cbrt-cube
12×sqrt-prod
11×pow1
10×associate-*r/
9×distribute-rgt-in distribute-lft-in
8×associate-*l*
6×associate-*r* associate-/r* add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-+l+ pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- flip-- associate-/l*
2×associate-*l/ *-commutative distribute-lft-out distribute-lft-out--
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp clear-num sum-log div-inv difference-of-squares unswap-sqr
Counts
4 → 119
Calls
4 calls:
1.7s
(* 6.0 (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)))
1.4s
(+ (* (- y x) (* 6.0 (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)))) x)
1.2s
(* (- y x) (* 6.0 (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z))))
6.0ms
(/ 2.0 (sqrt 3.0))

series2.2s

Counts
4 → 10
Calls
4 calls:
236.0ms
(* 6.0 (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)))
1.6s
(+ (* (- y x) (* 6.0 (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z)))) x)
377.0ms
(* (- y x) (* 6.0 (+ (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (fma z -1 z))))
0.0ms
(/ 2.0 (sqrt 3.0))

simplify1.1s

Counts
129 → 129
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
02252645
15622080
220141915
done50001915

prune628.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma 12.0 (/ y 3.0) x) (fma 6.0 (* z y) (* 12.0 (/ x 3.0))))
0.1b
(fma 12.0 (/ y 3.0) x)
0.1b
(fma 6.0 (* z y) (* 12.0 (/ x 3.0)))
0.2b
(* 12.0 (/ x 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
13×associate-*r*
10×times-frac
9×add-exp-log prod-diff add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u fma-udef log1p-expm1-u
3×fma-neg associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
7.0ms
(- (fma 12.0 (/ y 3.0) x) (fma 6.0 (* z y) (* 12.0 (/ x 3.0))))
0.0ms
(fma 12.0 (/ y 3.0) x)
0.0ms
(fma 6.0 (* z y) (* 12.0 (/ x 3.0)))
14.0ms
(* 12.0 (/ x 3.0))

series190.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (fma 12.0 (/ y 3.0) x) (fma 6.0 (* z y) (* 12.0 (/ x 3.0))))
35.0ms
(fma 12.0 (/ y 3.0) x)
46.0ms
(fma 6.0 (* z y) (* 12.0 (/ x 3.0)))
36.0ms
(* 12.0 (/ x 3.0))

simplify2.7s

Counts
96 → 96
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01501871
13221479
28691259
334451105
done50001104

prune356.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes303.0ms

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 (1.0ms)

IterNodesCost
01722
12122
done2122

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s9394×body80valid
44.0ms262×body640valid
28.0ms134×body1280valid
26.0ms197×body320valid
10.0ms109×body160valid