Details

Time bar (total: 22.7s)

sample51.0ms

Algorithm
intervals
Results
24.0ms327×body80valid
3.0ms9×body640valid
1.0ms4×body1280valid
1.0ms6×body320valid
0.0ms2×body160valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

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

localize25.0ms

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:
22.0ms
(- (/ 2.0 3.0) z)
97.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series169.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (/ 2.0 3.0) z)
57.0ms
(* 6.0 (- (/ 2.0 3.0) z))
85.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.4s

Counts
195 → 195
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune336.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.1b
(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 30
Calls
2 calls:
10.0ms
(- 4.0 (* 6.0 z))
1.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

series129.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- 4.0 (* 6.0 z))
75.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify2.3s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
064389
1145380
2363335
31119327
43556309
done5000309

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

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:
31.0ms
(- (/ 2.0 3.0) z)
27.0ms
(* (- y x) 6.0)
25.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
98.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series227.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 2.0 3.0) z)
42.0ms
(* (- y x) 6.0)
88.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
69.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.1s

Counts
316 → 316
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04007667
19226190
229745410
done50014990

prune756.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.2b
(* (- y x) (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.3b
(fma 6.0 (* (- y x) (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
1.0b
(/ 2.0 (sqrt 3.0))

rewrite658.0ms

Algorithm
rewrite-expression-head
Rules
1468×times-frac
1065×add-sqr-sqrt
1039×*-un-lft-identity
1033×add-cube-cbrt
816×prod-diff
737×sqrt-prod
410×distribute-rgt-in distribute-lft-in
43×div-inv
14×associate-*r*
10×add-exp-log associate-*l* add-cbrt-cube
9×difference-of-squares
8×pow1
7×flip3-- flip--
6×associate-/r*
4×expm1-log1p-u frac-times associate-*l/ log1p-expm1-u add-log-exp
3×associate-/l* distribute-lft-out--
2×sub-neg associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef
Counts
4 → 933
Calls
4 calls:
25.0ms
(* (- y x) 6.0)
459.0ms
(* (- y x) (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.0ms
(fma 6.0 (* (- y x) (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
8.0ms
(/ 2.0 (sqrt 3.0))

series670.0ms

Counts
4 → 10
Calls
4 calls:
43.0ms
(* (- y x) 6.0)
259.0ms
(* (- y x) (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
367.0ms
(fma 6.0 (* (- y x) (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
0.0ms
(/ 2.0 (sqrt 3.0))

simplify2.5s

Counts
943 → 943
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0127140267
1215830117
done500024705

prune962.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11010
done1010

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s9399×body80valid
61.0ms281×body640valid
38.0ms141×body1280valid
28.0ms178×body320valid
13.0ms114×body160valid