Details

Time bar (total: 16.5s)

sample41.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
7.0ms256×pre80true

simplify5.9s

Counts
1 → 1
Iterations
IterNodes
83449
71366
6799
5457
4220
3107
250
123
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.6b

localize28.0ms

Local error

Found 1 expressions with local error:

23.6b
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
associate-/l/
add-cbrt-cube add-exp-log
frac-times
add-sqr-sqrt associate-/r* *-un-lft-identity flip3-+ times-frac flip3-- add-cube-cbrt flip-+ flip--
cbrt-undiv div-exp associate-*l/ associate-*r/
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 32
Calls
1 calls:
21.0ms
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify2.1s

Counts
35 → 35
Iterations
IterNodes
35449
2964
1238
073

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (/ (fma y y (* x x)) (- x y)))
23.2b
(/ (fma y y (* x x)) (- x y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
add-cbrt-cube add-exp-log
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
flip3-+ flip-+
Counts
2 → 169
Calls
2 calls:
34.0ms
(/ (+ x y) (/ (fma y y (* x x)) (- x y)))
8.0ms
(/ (fma y y (* x x)) (- x y))

series192.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ (+ x y) (/ (fma y y (* x x)) (- x y)))
76.0ms
(/ (fma y y (* x x)) (- x y))

simplify4.5s

Counts
175 → 175
Iterations
IterNodes
37791
21999
1580
0227

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes112.0ms

Accuracy

75.7% (5.2b remaining)

Error of 5.6b against oracle of 0.4b and baseline of 21.8b

bsearch219.0ms

Steps
ItersRangePoint
7
1.1684990645758312e-189
2.6588906677660977e-187
1.1960469199561086e-189
4
7.83670793742019e-204
1.1697098851104035e-203
1.1093912770840933e-203
8
-5.854063970684074e-210
-2.309052337563708e-214
-5.766846463446123e-210
8
-5.126801769084034e-171
-1.2237292043506105e-174
-1.2474742340765115e-174
11
-1.4482563460685501e+161
-9.993409618766052e+133
-1.359699432060768e+154

simplify4.0ms

Iterations
IterNodes
227
127
025

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s8000×body80valid
394.0ms8000×pre80true