Details

Time bar (total: 22.9s)

sample47.0ms

Algorithm
intervals
Results
19.0ms293×body80valid
2.0ms9×body640valid
2.0ms9×body320valid
1.0ms5×body160valid
0.0ms1×body1280valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01213
12113
25112
317212
447712
5115212
6270812
done500012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)

rewrite129.0ms

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)
94.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series141.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
78.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.2s

Counts
195 → 195
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune281.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac
12×cbrt-prod
8×add-exp-log
7×add-cbrt-cube
6×pow1 associate-/r*
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/l*
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
7.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
0.0ms
(fma (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))) x)
12.0ms
(/ 2.0 (cbrt 3.0))

series638.0ms

Counts
4 → 10
Calls
4 calls:
191.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
262.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
185.0ms
(fma (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))) x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01381370
12411343
25471106
317421102
done5000786

prune399.0ms

Pruning

7 alts after pruning (6 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)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite280.0ms

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:
38.0ms
(- (/ 2.0 3.0) z)
47.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms
(* (- y x) 6.0)
134.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series196.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
74.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
38.0ms
(* (- y x) 6.0)
63.0ms
(* (* (- 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

prune715.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)

rewrite17.0ms

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:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (cbrt x) (cbrt x))
290.0ms
(cbrt x)
563.0ms
(cbrt x)
243.0ms
(cbrt x)

simplify4.4s

Counts
93 → 93
Iterations

Useful iterations: done (4.4s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune390.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes191.0ms

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 (0.0ms)

IterNodesCost
01621
11921
done1921

end0.0ms

sample1.2s

Algorithm
intervals
Results
654.0ms9440×body80valid
79.0ms263×body640valid
30.0ms132×body1280valid
26.0ms198×body320valid
9.0ms106×body160valid