Details

Time bar (total: 15.0s)

sample37.0ms

Algorithm
intervals
Results
19.0ms320×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5002
82662
71716
6872
5387
4171
384
234
114
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod insert-posit16 flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 48
Calls
2 calls:
16.0ms
(* (- 1.0 y) z)
18.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (- 1.0 y) z)
78.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.1s

Counts
54 → 54
Iterations
IterNodes
done5000
33175
2681
1228
095

prune262.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
0.0b
(- (* x y) (* 1.0 x))
3.2b
(* z (- (* x y) (* 1.0 x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 sub-neg *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×associate-*r* associate-*l* insert-posit16
2×flip3-- associate-*r/ flip--
1×+-commutative sum-log flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 54
Calls
3 calls:
18.0ms
(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
14.0ms
(- (* x y) (* 1.0 x))
27.0ms
(* z (- (* x y) (* 1.0 x)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
47.0ms
(- (* x y) (* 1.0 x))
76.0ms
(* z (- (* x y) (* 1.0 x)))

simplify1.8s

Counts
63 → 63
Iterations
IterNodes
done5022
32977
2743
1246
088

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
3.2b
(* (* x z) (- y 1.0))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in associate-+l+ sub-neg distribute-lft-in add-log-exp
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-*r/ insert-posit16
1×+-commutative sum-log flip3-+ flip3-- associate-*l* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 43
Calls
2 calls:
43.0ms
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
45.0ms
(* (* x z) (- y 1.0))

series183.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
82.0ms
(* (* x z) (- y 1.0))

simplify3.1s

Counts
49 → 49
Iterations
IterNodes
done5007
34804
2949
1268
091

prune172.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y 1.0))
0.0b
(+ (* x (* z (- y 1.0))) (* 1.0 x))
3.6b
(* x (* z (- y 1.0)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
10×add-sqr-sqrt pow1 sub-neg add-cbrt-cube add-exp-log
8×associate-+l+ *-un-lft-identity
6×associate-*r* associate-*l* associate-*r/ add-cube-cbrt
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×insert-posit16
2×flip3-- *-commutative flip--
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 76
Calls
3 calls:
24.0ms
(* z (- y 1.0))
38.0ms
(+ (* x (* z (- y 1.0))) (* 1.0 x))
32.0ms
(* x (* z (- y 1.0)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* z (- y 1.0))
72.0ms
(+ (* x (* z (- y 1.0))) (* 1.0 x))
64.0ms
(* x (* z (- y 1.0)))

simplify2.9s

Counts
85 → 85
Iterations
IterNodes
done5000
34792
2991
1317
0117

prune324.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes310.0ms

Accuracy

84% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch87.0ms

Steps
ItersRangePoint
4
5.1449384649512774e-139
7.79229990499347e-139
5.474649330783933e-139
7
-2.5161615145761395e+76
-1.2668005615985163e+75
-2.7171599342471754e+75

simplify8.0ms

Iterations
IterNodes
done32
132
022

end0.0ms

sample746.0ms

Algorithm
intervals
Results
533.0ms10168×body80valid