Details

Time bar (total: 15.5s)

sample36.0ms

Algorithm
intervals
Results
14.0ms291×body80valid
2.0ms15×body640valid
1.0ms5×body1280valid
1.0ms7×body320valid
0.0ms4×body160valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01213
12113
25112
317212
458612
5204212
done500112

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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)

rewrite156.0ms

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:
41.0ms
(- (/ 2.0 3.0) z)
91.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series164.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (/ 2.0 3.0) z)
56.0ms
(* 6.0 (- (/ 2.0 3.0) z))
67.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify1.1s

Counts
195 → 195
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02574364
15633284
217202739
done50002487

prune688.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite7.0ms

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:
6.0ms
(- 4.0 (* 6.0 z))
0.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

series98.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- 4.0 (* 6.0 z))
61.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify1.5s

Counts
36 → 36
Iterations

Useful iterations: done (1.5s)

IterNodesCost
064389
1145380
2469335
32152327
done5002309

prune213.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
7.0ms
(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
0.0ms
(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

series359.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
231.0ms
(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

simplify1.6s

Counts
38 → 38
Iterations

Useful iterations: done (1.6s)

IterNodesCost
077726
1175507
2572394
32537389
done5000386

prune182.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)) (cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)))
0.5b
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))
0.5b
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))
0.5b
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))

rewrite16.0ms

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:
11.0ms
(* (cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)) (cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)))
1.0ms
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))
1.0ms
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))
1.0ms
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))

series3.0s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)) (cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)))
715.0ms
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))
620.0ms
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))
629.0ms
(cbrt (fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x))

simplify798.0ms

Counts
93 → 93
Iterations

Useful iterations: done (794.0ms)

IterNodesCost
01763098
14472889
216342660
done50012215

prune491.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01318
11418
done1418

end0.0ms

sample1.4s

Algorithm
intervals
Results
845.0ms9303×body80valid
57.0ms253×body640valid
34.0ms153×body1280valid
25.0ms204×body320valid
9.0ms113×body160valid