Details

Time bar (total: 16.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms334×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
089
1159
2318
3638
41048
51618
61988
72388
82948
94168
105658
116538
127628
138358
148548
158988
169978
1712478
1815058
1918278
2020398
2120498
2220518
done20518

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (* 6.0 z) x)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma (- y x) (* 6.0 z) x)

simplify1.0s

Counts
13 → 13
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
023154
144151
2107135
3297123
41295123
done5002123

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u fma-def log1p-expm1-u
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
11.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ x (* (* (- y x) 6.0) z))
33.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) z)

simplify2.9s

Counts
71 → 71
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
0104692
1259647
2960553
34700553
done5000553

prune185.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
0.3b
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
1.9b
(- (* y y) (* x x))
26.5b
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
pow1 times-frac
associate-*r* prod-exp cbrt-unprod add-log-exp
associate-*l/
cbrt-undiv expm1-log1p-u div-exp associate-/r* associate-/r/ log1p-expm1-u
flip3-- flip-- distribute-lft-out
flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ difference-of-squares unswap-sqr
sub-neg frac-2neg fma-neg diff-log prod-diff clear-num associate-/l*
Counts
4 → 101
Calls
4 calls:
11.0ms
(* (- (* y y) (* x x)) 6.0)
24.0ms
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.0ms
(- (* y y) (* x x))
11.0ms
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series238.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (- (* y y) (* x x)) 6.0)
74.0ms
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
39.0ms
(- (* y y) (* x x))
71.0ms
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify769.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (218.0ms)

IterNodesCost
01581701
14301633
218471354
done50001354

prune304.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
associate-*l*
add-cube-cbrt
add-log-exp
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
expm1-log1p-u fma-def log1p-expm1-u
flip3-- associate-*r/ *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(+ x (* 6.0 (* (- y x) z)))
11.0ms
(* (- y x) z)
14.0ms
(* 6.0 (* (- y x) z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ x (* 6.0 (* (- y x) z)))
33.0ms
(* (- y x) z)
46.0ms
(* 6.0 (* (- y x) z))

simplify2.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0100685
1252648
2835550
34409550
done5001550

prune180.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample468.0ms

Algorithm
intervals
Results
251.0ms10116×body80valid