Details

Time bar (total: 9.9s)

sample41.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
11.0ms256×pre80true

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done2065
82065
71738
6803
5457
4220
3107
250
123
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize40.0ms

Local error

Found 1 expressions with local error:

18.4b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-cbrt-cube add-exp-log
4×frac-times
3×add-sqr-sqrt associate-/r* *-un-lft-identity flip3-+ times-frac flip3-- add-cube-cbrt flip-+ flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×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:
37.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.1s

Counts
35 → 35
Iterations
IterNodes
done2000
32000
21202
1236
076

prune268.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 1 expressions with local error:

18.4b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-cbrt-cube add-exp-log
4×frac-times
3×add-sqr-sqrt associate-/r* *-un-lft-identity flip3-+ times-frac flip3-- add-cube-cbrt flip-+ flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×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:
18.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.4s

Counts
35 → 35
Iterations
IterNodes
done2000
32000
21202
1236
076

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
0.0b
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
18.4b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
14×exp-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log log-pow associate-/l/
4×frac-times pow1 add-log-exp
3×expm1-log1p-u log-prod associate-/r* flip3-+ flip3-- flip-+ insert-posit16 log1p-expm1-u div-inv flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×clear-num frac-2neg rem-log-exp prod-exp cbrt-unprod associate-/l* rem-exp-log
Counts
3 → 72
Calls
3 calls:
5.0ms
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
13.0ms
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
26.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series310.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
109.0ms
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
85.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done2129
32129
21303
1292
0116

prune913.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes93.0ms

Accuracy

75.8% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.3b

bsearch149.0ms

Steps
ItersRangePoint
11
3.200664715459362e-185
4.0921714768388896e-165
4.0567724911730275e-165
5
-8.688890032834335e-156
-3.6517286354672326e-156
-6.704752375070274e-156
8
-3.407067328853733e+156
-2.9230384601346835e+152
-1.3379792666689724e+154

simplify7.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample1.6s

Algorithm
intervals
Results
999.0ms8000×body80valid
379.0ms8000×pre80true