Details

Time bar (total: 9.3s)

sample36.0ms

Algorithm
intervals
Results
23.0ms322×body80valid

simplify902.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
61169
5453
4195
392
234
114
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
9.0ms
(* x (fma z (- y 1.0) 1.0))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* x (fma z (- y 1.0) 1.0))

simplify677.0ms

Counts
26 → 26
Iterations
IterNodes
done2004
31207
2305
1111
049

prune170.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y 1.0))
0.0b
(+ (* x (* z (- y 1.0))) (* x 1.0))
3.7b
(* x (* z (- y 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
99×distribute-rgt-in distribute-lft-in
90×prod-diff
70×add-sqr-sqrt
68×*-un-lft-identity
66×add-cube-cbrt
44×associate-+l+
10×pow1 sub-neg add-cbrt-cube add-exp-log
6×associate-*r* associate-*l* associate-*r/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×flip3-- *-commutative flip--
1×+-commutative sum-log fma-def flip3-+ flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 174
Calls
3 calls:
27.0ms
(* z (- y 1.0))
26.0ms
(+ (* x (* z (- y 1.0))) (* x 1.0))
44.0ms
(* x (* z (- y 1.0)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* z (- y 1.0))
124.0ms
(+ (* x (* z (- y 1.0))) (* x 1.0))
55.0ms
(* x (* z (- y 1.0)))

simplify992.0ms

Counts
183 → 183
Iterations
IterNodes
done2000
21771
1649
0233

prune696.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x z) (- y 1.0)) (* x 1.0))
1.9b
(* (* x z) (- y 1.0))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
7×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
4×sub-neg add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ flip3-- associate-*l* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 84
Calls
2 calls:
35.0ms
(+ (* (* x z) (- y 1.0)) (* x 1.0))
28.0ms
(* (* x z) (- y 1.0))

series162.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(+ (* (* x z) (- y 1.0)) (* x 1.0))
71.0ms
(* (* x z) (- y 1.0))

simplify941.0ms

Counts
90 → 90
Iterations
IterNodes
done2000
21350
1441
0150

prune324.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* x z) (- y 1.0))
8.4b
(cbrt (* (* x z) (- y 1.0)))
8.4b
(cbrt (* (* x z) (- y 1.0)))
8.4b
(cbrt (* (* x z) (- y 1.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
8×associate-*r/
6×cbrt-div
5×associate-*r*
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 89
Calls
4 calls:
26.0ms
(* (* x z) (- y 1.0))
13.0ms
(cbrt (* (* x z) (- y 1.0)))
16.0ms
(cbrt (* (* x z) (- y 1.0)))
13.0ms
(cbrt (* (* x z) (- y 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* x z) (- y 1.0))
267.0ms
(cbrt (* (* x z) (- y 1.0)))
553.0ms
(cbrt (* (* x z) (- y 1.0)))
244.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify873.0ms

Counts
101 → 101
Iterations
IterNodes
done2000
21380
1515
0191

prune497.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

88.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch99.0ms

Steps
ItersRangePoint
6
2.3037453495363985e-88
2.362914465755602e-87
2.0030901039446497e-87
8
-4.838083950096904e+37
-3.197068583317346e+33
-4.254742651428898e+33

simplify5.0ms

Iterations
IterNodes
done28
128
018

end0.0ms

sample959.0ms

Algorithm
intervals
Results
682.0ms9947×body80valid