Details

Time bar (total: 22.0s)

sample36.0ms

Algorithm
intervals
Results
15.0ms305×body80valid
2.0ms9×body1280valid
0.0ms3×body640valid
0.0ms5×body160valid

simplify7.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01213
12113
25112
317212
447712
5115212
6270812
done500012

prune19.0ms

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)

rewrite124.0ms

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:
24.0ms
(- (/ 2.0 3.0) z)
88.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series170.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ 2.0 3.0) z)
55.0ms
(* 6.0 (- (/ 2.0 3.0) z))
79.0ms
(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

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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

rewrite242.0ms

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:
34.0ms
(- (/ 2.0 3.0) z)
35.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
35.0ms
(* (- y x) 6.0)
115.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series190.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
72.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
35.0ms
(* (- y x) 6.0)
49.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.1s

Counts
316 → 316
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04007667
19226190
229755410
done50024990

prune820.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- y x) 6.0)
0.4b
(fma (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (* (- y x) 6.0) x)
1.0b
(/ 2.0 (sqrt 3.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
18×times-frac
12×sqrt-prod
10×add-exp-log associate-*l* add-cbrt-cube
8×pow1
6×associate-*r* associate-/r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×associate-/l*
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 99
Calls
4 calls:
22.0ms
(* (- y x) 6.0)
27.0ms
(* (- y x) 6.0)
0.0ms
(fma (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (* (- y x) 6.0) x)
6.0ms
(/ 2.0 (sqrt 3.0))

series332.0ms

Counts
4 → 10
Calls
4 calls:
47.0ms
(* (- y x) 6.0)
42.0ms
(* (- y x) 6.0)
242.0ms
(fma (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z) (* (- y x) 6.0) x)
0.0ms
(/ 2.0 (sqrt 3.0))

simplify2.0s

Counts
109 → 109
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01521093
1291963
2770886
32562875
done5001870

prune421.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.1b
(* 6.0 (sqrt (- (/ 2.0 3.0) z)))
0.1b
(fma (- y x) (* (* 6.0 (sqrt (- (/ 2.0 3.0) z))) (sqrt (- (/ 2.0 3.0) z))) x)
0.7b
(* (* 6.0 (sqrt (- (/ 2.0 3.0) z))) (sqrt (- (/ 2.0 3.0) z)))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
56×*-un-lft-identity
50×add-cube-cbrt
39×times-frac prod-diff
18×associate-*r*
14×sqrt-div
13×fma-neg sqrt-prod
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
8×flip3-- flip--
6×add-log-exp difference-of-squares
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv
3×distribute-lft-out--
2×associate-*l/ *-commutative unswap-sqr
1×sub-neg diff-log fma-udef
Counts
4 → 142
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
70.0ms
(* 6.0 (sqrt (- (/ 2.0 3.0) z)))
0.0ms
(fma (- y x) (* (* 6.0 (sqrt (- (/ 2.0 3.0) z))) (sqrt (- (/ 2.0 3.0) z))) x)
172.0ms
(* (* 6.0 (sqrt (- (/ 2.0 3.0) z))) (sqrt (- (/ 2.0 3.0) z)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 2.0 3.0) z)
73.0ms
(* 6.0 (sqrt (- (/ 2.0 3.0) z)))
84.0ms
(fma (- y x) (* (* 6.0 (sqrt (- (/ 2.0 3.0) z))) (sqrt (- (/ 2.0 3.0) z))) x)
64.0ms
(* (* 6.0 (sqrt (- (/ 2.0 3.0) z))) (sqrt (- (/ 2.0 3.0) z)))

simplify3.0s

Counts
154 → 154
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02402815
15352075
212741783
342271622
done50001622

prune480.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify406.0ms

Iterations

Useful iterations: 0 (402.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.1s

Algorithm
intervals
Results
471.0ms9410×body80valid
48.0ms258×body640valid
30.0ms130×body1280valid
25.0ms183×body320valid
12.0ms135×body160valid