Details

Time bar (total: 23.3s)

sample42.0ms

Algorithm
intervals
Results
20.0ms313×body80valid
2.0ms10×body320valid
1.0ms5×body640valid
1.0ms2×body1280valid
0.0ms2×body160valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (377.0ms)

IterNodesCost
01213
12113
25112
317212
447712
5115212
6270812
done500012

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)

rewrite169.0ms

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:
39.0ms
(- (/ 2.0 3.0) z)
106.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series139.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (/ 2.0 3.0) z)
58.0ms
(* 6.0 (- (/ 2.0 3.0) z))
61.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.5s

Counts
195 → 195
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune293.0ms

Pruning

4 alts after pruning (3 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
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite203.0ms

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:
30.0ms
(- (/ 2.0 3.0) z)
29.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
23.0ms
(* (- y x) 6.0)
99.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series206.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
81.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
35.0ms
(* (- y x) 6.0)
68.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.2s

Counts
316 → 316
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04007667
19226190
229755410
done50024990

prune825.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (cbrt x) (cbrt x))
285.0ms
(cbrt x)
230.0ms
(cbrt x)
286.0ms
(cbrt x)

simplify4.2s

Counts
93 → 93
Iterations

Useful iterations: done (4.2s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune389.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.2b
(* (* (- y x) 6.0) (fma (- z) 1 (* z 1)))
0.5b
(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
1.0b
(pow (cbrt (/ 2.0 3.0)) 3)

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×cbrt-prod *-un-lft-identity
24×add-cube-cbrt
18×times-frac
16×unpow-prod-down cube-prod
12×pow1 add-exp-log
11×add-cbrt-cube
6×associate-*r* associate-*l* associate-*l/
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow fma-udef
2×flip3-- pow-pow *-commutative flip-- div-inv
1×cube-div distribute-rgt-in cube-mult pow-to-exp cbrt-div distribute-lft-in pow1/3 unpow3 pow-exp distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr sqr-pow
Counts
4 → 111
Calls
4 calls:
46.0ms
(* (- y x) 6.0)
84.0ms
(* (* (- y x) 6.0) (fma (- z) 1 (* z 1)))
1.0ms
(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
15.0ms
(pow (cbrt (/ 2.0 3.0)) 3)

series220.0ms

Counts
4 → 10
Calls
4 calls:
40.0ms
(* (- y x) 6.0)
70.0ms
(* (* (- y x) 6.0) (fma (- z) 1 (* z 1)))
110.0ms
(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
0.0ms
(pow (cbrt (/ 2.0 3.0)) 3)

simplify1.8s

Counts
121 → 121
Iterations

Useful iterations: 2 (861.0ms)

IterNodesCost
02111577
15111172
215491032
done50001032

prune496.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes157.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11212
done1212

end0.0ms

sample1.4s

Algorithm
intervals
Results
822.0ms9360×body80valid
103.0ms267×body640valid
52.0ms153×body1280valid
40.0ms203×body320valid
14.0ms117×body160valid