Details

Time bar (total: 13.0s)

sample36.0ms

Algorithm
intervals
Results
22.0ms320×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
83328
72269
61169
5453
4195
392
234
114
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u insert-posit16 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 → 34
Calls
2 calls:
0.0ms
(fma z (- y 1.0) 1.0)
6.0ms
(* x (fma z (- y 1.0) 1.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(fma z (- y 1.0) 1.0)
67.0ms
(* x (fma z (- y 1.0) 1.0))

simplify1.5s

Counts
40 → 40
Iterations
IterNodes
done5002
31445
2333
1125
056

prune178.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×sub-neg flip3-- associate-*l/ *-commutative flip--
1×+-commutative sum-log fma-def flip3-+ distribute-rgt-out flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 86
Calls
3 calls:
15.0ms
(* z (- y 1.0))
27.0ms
(+ (* (* z (- y 1.0)) x) (* 1.0 x))
24.0ms
(* (* z (- y 1.0)) x)

series183.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* z (- y 1.0))
72.0ms
(+ (* (* z (- y 1.0)) x) (* 1.0 x))
60.0ms
(* (* z (- y 1.0)) x)

simplify1.3s

Counts
95 → 95
Iterations
IterNodes
done5001
21247
1398
0163

prune388.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
8×*-un-lft-identity associate-*l*
6×add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×flip3-- associate-*r/ *-commutative flip--
1×+-commutative sum-log fma-def flip3-+ flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
24.0ms
(+ (* z (* (- y 1.0) x)) (* 1.0 x))
19.0ms
(* (- y 1.0) x)
24.0ms
(* z (* (- y 1.0) x))

series159.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (* z (* (- y 1.0) x)) (* 1.0 x))
35.0ms
(* (- y 1.0) x)
57.0ms
(* z (* (- y 1.0) x))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5000
2912
1282
0108

prune383.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
6×distribute-rgt-in associate-+l+ distribute-lft-in
5×pow1 sub-neg *-un-lft-identity add-cbrt-cube prod-diff add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
2×flip3-- associate-*r/ flip--
1×+-commutative sum-log fma-def flip3-+ fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 67
Calls
3 calls:
19.0ms
(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
8.0ms
(- (* x y) (* 1.0 x))
22.0ms
(* z (- (* x y) (* 1.0 x)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
69.0ms
(- (* x y) (* 1.0 x))
80.0ms
(* z (- (* x y) (* 1.0 x)))

simplify2.0s

Counts
76 → 76
Iterations
IterNodes
done5000
33470
2990
1283
0105

prune350.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

94.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch94.0ms

Steps
ItersRangePoint
7
5.227106814577093e+53
2.627346921933047e+55
5.312519142170575e+53
9
-2.8117274230597542e-25
-1.6726784620891888e-31
-2.035243254459298e-28

simplify3.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample1.4s

Algorithm
intervals
Results
780.0ms10168×body80valid